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345059232 = 2537513481
BaseRepresentation
bin10100100100010…
…010111110100000
3220001021211021120
4110210102332200
51201313343412
654123452240
711356645410
oct2444227640
9801254246
10345059232
11167860121
1297687080
135664637b
1433b82640
152045eb8c
hex14912fa0

345059232 has 48 divisors (see below), whose sum is σ = 1035179712. Its totient is φ = 98588160.

The previous prime is 345059227. The next prime is 345059237. The reversal of 345059232 is 232950543.

345059232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (345059227) and next prime (345059237).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 345059193 and 345059202.

It is not an unprimeable number, because it can be changed into a prime (345059237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256069 + ... + 257412.

It is an arithmetic number, because the mean of its divisors is an integer number (21566244).

Almost surely, 2345059232 is an apocalyptic number.

345059232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345059232 is an abundant number, since it is smaller than the sum of its proper divisors (690120480).

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

345059232 is a wasteful number, since it uses less digits than its factorization.

345059232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513501 (or 513493 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 345059232 is about 18575.7700244162. The cubic root of 345059232 is about 701.3980440547.

The spelling of 345059232 in words is "three hundred forty-five million, fifty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 513481 1026962 1540443 2053924 3080886 3594367 4107848 6161772 7188734 8215696 10783101 12323544 14377468 16431392 21566202 24647088 28754936 43132404 49294176 57509872 86264808 115019744 172529616 345059232