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264433240 = 2358974279
BaseRepresentation
bin11111100001011…
…10111001011000
3200102120121012201
433300232321120
51020143330430
642123415544
76360434251
oct1760567130
9612517181
10264433240
111262a1675
12746845b4
1342a27096
1427195b28
15183358ca
hexfc2ee58

264433240 has 32 divisors (see below), whose sum is σ = 601668000. Its totient is φ = 104583424.

The previous prime is 264433201. The next prime is 264433259. The reversal of 264433240 is 42334462.

264433240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 264433199 and 264433208.

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, 33580 + ... + 40699.

It is an arithmetic number, because the mean of its divisors is an integer number (18802125).

Almost surely, 2264433240 is an apocalyptic number.

264433240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264433240 is an abundant number, since it is smaller than the sum of its proper divisors (337234760).

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

264433240 is a wasteful number, since it uses less digits than its factorization.

264433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74379 (or 74375 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 264433240 is about 16261.4033834722. The cubic root of 264433240 is about 641.8575914306.

The spelling of 264433240 in words is "two hundred sixty-four million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 74279 148558 297116 371395 594232 742790 1485580 2971160 6610831 13221662 26443324 33054155 52886648 66108310 132216620 264433240