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264968320 = 275414013
BaseRepresentation
bin11111100101100…
…01100010000000
3200110120210012111
433302301202000
51020312441240
642143105104
76365123251
oct1762614200
9613523174
10264968320
11126627691
12748a2194
1342b837b6
1427294b28
15183de1ea
hexfcb1880

264968320 has 32 divisors (see below), whose sum is σ = 633441420. Its totient is φ = 105987072.

The previous prime is 264968293. The next prime is 264968371. The reversal of 264968320 is 23869462.

It can be written as a sum of positive squares in 2 ways, for example, as 248125504 + 16842816 = 15752^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206367 + ... + 207646.

Almost surely, 2264968320 is an apocalyptic number.

264968320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264968320 is an abundant number, since it is smaller than the sum of its proper divisors (368473100).

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

264968320 is an equidigital number, since it uses as much as digits as its factorization.

264968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414032 (or 414020 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 264968320 is about 16277.8475235518. The cubic root of 264968320 is about 642.2902321564.

The spelling of 264968320 in words is "two hundred sixty-four million, nine hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 414013 828026 1656052 2070065 3312104 4140130 6624208 8280260 13248416 16560520 26496832 33121040 52993664 66242080 132484160 264968320