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244118664 = 23333473257
BaseRepresentation
bin11101000110011…
…11010010001000
3122000100111212000
432203033102020
5444443244124
640120151000
76022655136
oct1643172210
9560314760
10244118664
11115886a69
1269908460
133b76371a
14245c8756
15166716c9
hexe8cf488

244118664 has 64 divisors (see below), whose sum is σ = 680270400. Its totient is φ = 81113472.

The previous prime is 244118659. The next prime is 244118683. The reversal of 244118664 is 466811442.

It is a happy number.

It is a super-2 number, since 2×2441186642 = 119187844226289792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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

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 15 ways as a sum of consecutive naturals, for example, 73324 + ... + 76580.

It is an arithmetic number, because the mean of its divisors is an integer number (10629225).

Almost surely, 2244118664 is an apocalyptic number.

244118664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244118664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340135200).

244118664 is an abundant number, since it is smaller than the sum of its proper divisors (436151736).

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

244118664 is a wasteful number, since it uses less digits than its factorization.

244118664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3619 (or 3609 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 244118664 is about 15624.2972321958. The cubic root of 244118664 is about 624.9812593847.

The spelling of 244118664 in words is "two hundred forty-four million, one hundred eighteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 347 694 1041 1388 2082 2776 3123 3257 4164 6246 6514 8328 9369 9771 12492 13028 18738 19542 24984 26056 29313 37476 39084 58626 74952 78168 87939 117252 175878 234504 351756 703512 1130179 2260358 3390537 4520716 6781074 9041432 10171611 13562148 20343222 27124296 30514833 40686444 61029666 81372888 122059332 244118664