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264935328 = 2537394249
BaseRepresentation
bin11111100101010…
…01011110100000
3200110112002221120
433302221132200
51020310412303
642142252240
76364625130
oct1762513640
9613462846
10264935328
11126604919
1274887080
1342b71788
1427286ac0
15183d4553
hexfca97a0

264935328 has 48 divisors (see below), whose sum is σ = 794808000. Its totient is φ = 75695616.

The previous prime is 264935309. The next prime is 264935339. The reversal of 264935328 is 823539462.

264935328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 264935328.

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, 196453 + ... + 197796.

It is an arithmetic number, because the mean of its divisors is an integer number (16558500).

Almost surely, 2264935328 is an apocalyptic number.

264935328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

264935328 is an abundant number, since it is smaller than the sum of its proper divisors (529872672).

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

264935328 is a wasteful number, since it uses less digits than its factorization.

264935328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394269 (or 394261 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 264935328 is about 16276.8340902032. The cubic root of 264935328 is about 642.2635732223.

The spelling of 264935328 in words is "two hundred sixty-four million, nine hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 394249 788498 1182747 1576996 2365494 2759743 3153992 4730988 5519486 6307984 8279229 9461976 11038972 12615968 16558458 18923952 22077944 33116916 37847904 44155888 66233832 88311776 132467664 264935328