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243872664 = 23371451623
BaseRepresentation
bin11101000100100…
…11001110011000
3121222220000101220
432202103032120
5444412411124
640111012040
76020612010
oct1642231630
9558800356
10243872664
11115729162
126980a020
133b6a8769
1424562c40
1516623879
hexe893398

243872664 has 32 divisors (see below), whose sum is σ = 696779520. Its totient is φ = 69677856.

The previous prime is 243872627. The next prime is 243872689. The reversal of 243872664 is 466278342.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 725644 + ... + 725979.

It is an arithmetic number, because the mean of its divisors is an integer number (21774360).

Almost surely, 2243872664 is an apocalyptic number.

243872664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243872664 is an abundant number, since it is smaller than the sum of its proper divisors (452906856).

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

243872664 is a wasteful number, since it uses less digits than its factorization.

243872664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451639 (or 1451635 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 243872664 is about 15616.4228938640. The cubic root of 243872664 is about 624.7712562389.

The spelling of 243872664 in words is "two hundred forty-three million, eight hundred seventy-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1451623 2903246 4354869 5806492 8709738 10161361 11612984 17419476 20322722 30484083 34838952 40645444 60968166 81290888 121936332 243872664