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345901460 = 225194321169
BaseRepresentation
bin10100100111100…
…000100110010100
3220002212121121012
4110213200212110
51202022321320
654153511352
711400054032
oct2447404624
9802777535
10345901460
11168285983
1297a12558
135687c828
1433d21552
15205794c5
hex149e0994

345901460 has 48 divisors (see below), whose sum is σ = 782443200. Its totient is φ = 128024064.

The previous prime is 345901459. The next prime is 345901463. The reversal of 345901460 is 64109543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345901463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5756 + ... + 26924.

It is an arithmetic number, because the mean of its divisors is an integer number (16300900).

Almost surely, 2345901460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345901460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391221600).

345901460 is an abundant number, since it is smaller than the sum of its proper divisors (436541740).

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

345901460 is a wasteful number, since it uses less digits than its factorization.

345901460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21240 (or 21238 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 345901460 is about 18598.4262775107. The cubic root of 345901460 is about 701.9682428688.

The spelling of 345901460 in words is "three hundred forty-five million, nine hundred one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1634 3268 4085 8170 16340 21169 42338 84676 105845 211690 402211 423380 804422 910267 1608844 1820534 2011055 3641068 4022110 4551335 8044220 9102670 17295073 18205340 34590146 69180292 86475365 172950730 345901460