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240269664 = 2532502809
BaseRepresentation
bin11100101001000…
…11100101100000
3121202002222000110
432110203211200
5443002112124
635501451320
75645154435
oct1624434540
9552088013
10240269664
11113698178
1268570b40
133aa167cb
1423ca5b8c
1516161029
hexe523960

240269664 has 24 divisors (see below), whose sum is σ = 630708120. Its totient is φ = 80089856.

The previous prime is 240269663. The next prime is 240269693. The reversal of 240269664 is 466962042.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2402696642 = 115459022877345792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240269663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251309 + ... + 1251500.

It is an arithmetic number, because the mean of its divisors is an integer number (26279505).

Almost surely, 2240269664 is an apocalyptic number.

240269664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240269664 is an abundant number, since it is smaller than the sum of its proper divisors (390438456).

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

240269664 is a wasteful number, since it uses less digits than its factorization.

240269664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502822 (or 2502814 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 240269664 is about 15500.6343096017. The cubic root of 240269664 is about 621.6791665012.

The spelling of 240269664 in words is "two hundred forty million, two hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2502809 5005618 7508427 10011236 15016854 20022472 30033708 40044944 60067416 80089888 120134832 240269664