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240626664 = 23323342037
BaseRepresentation
bin11100101011110…
…10101111101000
3121202210002201200
432111322233220
5443100023124
635513244200
75651202315
oct1625725750
9552702650
10240626664
11113911413
1268703660
133ab10155
1423d59d0c
15161d1bc9
hexe57abe8

240626664 has 24 divisors (see below), whose sum is σ = 651697410. Its totient is φ = 80208864.

The previous prime is 240626647. The next prime is 240626669. The reversal of 240626664 is 466626042.

It can be written as a sum of positive squares in only one way, i.e., 240560100 + 66564 = 15510^2 + 258^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (240626669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1670947 + ... + 1671090.

Almost surely, 2240626664 is an apocalyptic number.

240626664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240626664 is an abundant number, since it is smaller than the sum of its proper divisors (411070746).

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

240626664 is a wasteful number, since it uses less digits than its factorization.

240626664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342049 (or 3342042 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 240626664 is about 15512.1456929723. The cubic root of 240626664 is about 621.9869174228.

The spelling of 240626664 in words is "two hundred forty million, six hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3342037 6684074 10026111 13368148 20052222 26736296 30078333 40104444 60156666 80208888 120313332 240626664