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345132064 = 2559182803
BaseRepresentation
bin10100100100100…
…100110000100000
3220001102112012001
4110210210300200
51201323211224
654125213344
711360400634
oct2444446040
9801375161
10345132064
111678aa912
1297701254
1356670574
1433ba0dc4
1520476544
hex14924c20

345132064 has 24 divisors (see below), whose sum is σ = 690999120. Its totient is φ = 169640256.

The previous prime is 345132037. The next prime is 345132077. The reversal of 345132064 is 460231543.

It is a super-3 number, since 3×3451320643 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89514 + ... + 93289.

It is an arithmetic number, because the mean of its divisors is an integer number (28791630).

Almost surely, 2345132064 is an apocalyptic number.

It is an amenable number.

345132064 is an abundant number, since it is smaller than the sum of its proper divisors (345867056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345132064 is a wasteful number, since it uses less digits than its factorization.

345132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182872 (or 182864 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 345132064 is about 18577.7303242350. The cubic root of 345132064 is about 701.4473888472.

The spelling of 345132064 in words is "three hundred forty-five million, one hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 59 118 236 472 944 1888 182803 365606 731212 1462424 2924848 5849696 10785377 21570754 43141508 86283016 172566032 345132064