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345146464 = 25132336073
BaseRepresentation
bin10100100100101…
…000010001100000
3220001110020221101
4110210220101200
51201324141324
654125404144
711360460625
oct2444502140
9801406841
10345146464
1116790a713
1297709654
1356676ca0
1433ba634c
152047a944
hex14928460

345146464 has 48 divisors (see below), whose sum is σ = 763614432. Its totient is φ = 152368128.

The previous prime is 345146443. The next prime is 345146491. The reversal of 345146464 is 464641543.

It is a super-2 number, since 2×3451464642 = 238252163223406592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8469 + ... + 27604.

It is an arithmetic number, because the mean of its divisors is an integer number (15908634).

Almost surely, 2345146464 is an apocalyptic number.

It is an amenable number.

345146464 is an abundant number, since it is smaller than the sum of its proper divisors (418467968).

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

345146464 is a wasteful number, since it uses less digits than its factorization.

345146464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36119 (or 36111 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 345146464 is about 18578.1178809911. The cubic root of 345146464 is about 701.4571442452.

The spelling of 345146464 in words is "three hundred forty-five million, one hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 9568 36073 72146 144292 288584 468949 577168 829679 937898 1154336 1659358 1875796 3318716 3751592 6637432 7503184 10785827 13274864 15006368 21571654 26549728 43143308 86286616 172573232 345146464