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345425584 = 24717181421
BaseRepresentation
bin10100100101101…
…100011010110000
3220001222102211011
4110211230122300
51201412104314
654135400304
711363032450
oct2445543260
9801872734
10345425584
11167a90399
1297823094
135674404a
1433c39d60
15204d34c4
hex1496c6b0

345425584 has 40 divisors (see below), whose sum is σ = 809867808. Its totient is φ = 139330560.

The previous prime is 345425573. The next prime is 345425603. The reversal of 345425584 is 485524543.

It is a super-3 number, since 3×3454255843 (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88807 + ... + 92614.

Almost surely, 2345425584 is an apocalyptic number.

345425584 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

345425584 is an abundant number, since it is smaller than the sum of its proper divisors (464442224).

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

345425584 is a wasteful number, since it uses less digits than its factorization.

345425584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181453 (or 181447 counting only the distinct ones).

The product of its digits is 384000, while the sum is 40.

The square root of 345425584 is about 18585.6284262868. The cubic root of 345425584 is about 701.6461827970.

The spelling of 345425584 in words is "three hundred forty-five million, four hundred twenty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 181421 362842 725684 1269947 1451368 2539894 2902736 3084157 5079788 6168314 10159576 12336628 20319152 21589099 24673256 43178198 49346512 86356396 172712792 345425584