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264640716 = 22332450377
BaseRepresentation
bin11111100011000…
…01100011001100
3200102222010211000
433301201203030
51020222000331
642132100300
76362260164
oct1761414314
9612863730
10264640716
1112642353a
1274764690
1342a9a652
142720b5a4
15183770e6
hexfc618cc

264640716 has 24 divisors (see below), whose sum is σ = 686105840. Its totient is φ = 88213536.

The previous prime is 264640709. The next prime is 264640729. The reversal of 264640716 is 617046462.

264640716 is a `hidden beast` number, since 2 + 6 + 4 + 640 + 7 + 1 + 6 = 666.

264640716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

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, 1225081 + ... + 1225296.

Almost surely, 2264640716 is an apocalyptic number.

It is an amenable number.

264640716 is an abundant number, since it is smaller than the sum of its proper divisors (421465124).

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

264640716 is a wasteful number, since it uses less digits than its factorization.

264640716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450390 (or 2450382 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 264640716 is about 16267.7815328335. The cubic root of 264640716 is about 642.0254160608.

It can be divided in two parts, 264640 and 716, that added together give a triangular number (265356 = T728).

The spelling of 264640716 in words is "two hundred sixty-four million, six hundred forty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2450377 4900754 7351131 9801508 14702262 22053393 29404524 44106786 66160179 88213572 132320358 264640716