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New Zealand completed a 3-0 series whitewash over Australia with a thrilling one-wicket win in the third and final one-day match of the Chappell-Hadlee series in Hamilton on Tuesday.

Australia had posted the daunting total of 346 for five after Matthew Hayden batted through the entire innings to score an unbeaten 181, the highest score by an Australian in a one-day international.

But New Zealand, having already wrapped up the series by winning the first two matches, came storming back to win with three balls to spare after registering the second largest run-chase in one-day history.

Craig McMillan posted the fastest one-day hundred by a New Zealander in making 117, while wicketkeeper Brendon McCullum blazed an unbeaten 86 in New Zealand's 350-9.

Earlier, Matthew Hayden overcame a foot injury to post the highest individual score by an Australian in one-day internationals.

With Australia trailing 2-0 in the series, the opener smacked an unbeaten 181 from 166 balls to help his team amass an imposing total at Seddon Park.

Hayden, who already holds the Australian record for the highest Test score (380), broke the previous one-day record of 173 set by Mark Waugh against the West Indies in Melbourne six years ago.

Batting with a runner after being struck on both feet, the left-handed opener also broke Andrew Symonds' record of 156 for the highest individual score in New Zealand as Australia posted the second highest total by any team on New Zealand soil.

Hayden's innings featured 11 fours and 10 sixes and was the eighth highest score in history, just 13 short of Saeed Anwar's world record of 194 for Pakistan against India in 1997.

All-rounder Shane Watson made 68 off 69 balls after being promoted to open the innings with Hayden and wicketkeeper Brad Haddin smacked 38 off 31 deliveries.

Brad Hodge (12), Mike Hussey (13) and Cameron White (12) all went cheaply chasing quick runs at the end of the innings, leaving Adam Voges unbeaten on 16 in his international debut.

New Zealand won the first match in Wellington by 10 wickets then successfully overhauling Australia's formidable total of 336-4 in the second match in Auckland.

Hayden began slowly, taking 82 balls to reach his half-century before gradually increasing his run-rate despite not being able to move his feet freely.

The broad-shouldered Queenslander brought up his seventh one-day hundred off 127 balls but needed only 26 more to get to 150 and 13 to go from 150 to 181.

Paceman Mark Gillespie and spinner Jeetan Patel both finished with two wickets each but conceded 83 and 70 respectively from their 10 overs after New Zealand's two main strike bowlers Shane Bond and Daniel Vettori were rested.

Australia also made two changes to their side, with Voges making his debut at the expense of opener Phil Jacques and seamer Mitchell Johnson replacing Glenn McGrath.