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345053640 = 23352875447
BaseRepresentation
bin10100100100010…
…001100111001000
3220001021112121110
4110210101213020
51201313204030
654123410320
711356623201
oct2444214710
9801245543
10345053640
111678569a8
12976839a0
1356643969
1433b805a8
152045d1b0
hex149119c8

345053640 has 32 divisors (see below), whose sum is σ = 1035161280. Its totient is φ = 92014272.

The previous prime is 345053609. The next prime is 345053647. The reversal of 345053640 is 46350543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 345053598 and 345053607.

It is not an unprimeable number, because it can be changed into a prime (345053647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1437604 + ... + 1437843.

It is an arithmetic number, because the mean of its divisors is an integer number (32348790).

Almost surely, 2345053640 is an apocalyptic number.

345053640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345053640 is an abundant number, since it is smaller than the sum of its proper divisors (690107640).

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

345053640 is a wasteful number, since it uses less digits than its factorization.

345053640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875461 (or 2875457 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 345053640 is about 18575.6195051471. The cubic root of 345053640 is about 701.3942551023.

The spelling of 345053640 in words is "three hundred forty-five million, fifty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2875447 5750894 8626341 11501788 14377235 17252682 23003576 28754470 34505364 43131705 57508940 69010728 86263410 115017880 172526820 345053640