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361117944 = 2332111726821
BaseRepresentation
bin10101100001100…
…011100011111000
3221011111200200200
4111201203203320
51214421233234
655500002200
711643310665
oct2541434370
9834450620
10361117944
11175929290
12a0b30360
1359a79875
1435d62a6c
1521a82d99
hex158638f8

361117944 has 96 divisors (see below), whose sum is σ = 1129742640. Its totient is φ = 102988800.

The previous prime is 361117943. The next prime is 361117973. The reversal of 361117944 is 449711163.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 361117899 and 361117908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361117943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54 + ... + 26874.

Almost surely, 2361117944 is an apocalyptic number.

361117944 is a gapful number since it is divisible by the number (34) 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 361117944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564871320).

361117944 is an abundant number, since it is smaller than the sum of its proper divisors (768624696).

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

361117944 is a wasteful number, since it uses less digits than its factorization.

361117944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26861 (or 26854 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 361117944 is about 19003.1035360017. The cubic root of 361117944 is about 712.1142717319.

The spelling of 361117944 in words is "three hundred sixty-one million, one hundred seventeen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 13464 26821 53642 80463 107284 160926 214568 241389 295031 321852 455957 482778 590062 643704 885093 911914 965556 1180124 1367871 1770186 1823828 1931112 2360248 2655279 2735742 3540372 3647656 4103613 5015527 5310558 5471484 7080744 8207226 10031054 10621116 10942968 15046581 16414452 20062108 21242232 30093162 32828904 40124216 45139743 60186324 90279486 120372648 180558972 361117944