Search a number
-
+
2364007056 = 243192227601
BaseRepresentation
bin1000110011100111…
…1110001010010000
320002202022000000220
42030321332022100
514320141211211
61030324513040
7112403504565
oct21471761220
96082260026
102364007056
111003469544
1255b84b780
132b89c5c58
14185d7086c
15dc816806
hex8ce7e290

2364007056 has 120 divisors (see below), whose sum is σ = 6484522464. Its totient is φ = 742003200.

The previous prime is 2364007039. The next prime is 2364007067. The reversal of 2364007056 is 6507004632.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3933156 + ... + 3933756.

Almost surely, 22364007056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2364007056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242261232).

2364007056 is an abundant number, since it is smaller than the sum of its proper divisors (4120515408).

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

2364007056 is a wasteful number, since it uses less digits than its factorization.

2364007056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2364007056 is about 48621.0556857829. The cubic root of 2364007056 is about 1332.1391426396.

The spelling of 2364007056 in words is "two billion, three hundred sixty-four million, seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 227 228 304 361 454 456 601 681 722 908 912 1083 1202 1362 1444 1803 1816 2166 2404 2724 2888 3606 3632 4313 4332 4808 5448 5776 7212 8626 8664 9616 10896 11419 12939 14424 17252 17328 22838 25878 28848 34257 34504 45676 51756 68514 69008 81947 91352 103512 136427 137028 163894 182704 207024 216961 245841 272854 274056 327788 409281 433922 491682 545708 548112 650883 655576 818562 867844 983364 1091416 1301766 1311152 1637124 1735688 1966728 2182832 2592113 2603532 3274248 3471376 3933456 5184226 5207064 6548496 7776339 10368452 10414128 15552678 20736904 31105356 41473808 49250147 62210712 98500294 124421424 147750441 197000588 295500882 394001176 591001764 788002352 1182003528 2364007056