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2364764328 = 2333172272837
BaseRepresentation
bin1000110011110011…
…0111000010101000
320002210201110211000
42030330313002220
514320334424303
61030353035000
7112413110433
oct21474670250
96083643730
102364764328
111003936493
1255bb55a60
132b8bcc844
141860ca81a
15dc915da3
hex8cf370a8

2364764328 has 128 divisors (see below), whose sum is σ = 6988291200. Its totient is φ = 738358272.

The previous prime is 2364764287. The next prime is 2364764333. The reversal of 2364764328 is 8234674632.

It is a super-2 number, since 2×23647643282 = 11184220653962583168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832126 + ... + 834962.

It is an arithmetic number, because the mean of its divisors is an integer number (54596025).

Almost surely, 22364764328 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 2364764328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494145600).

2364764328 is an abundant number, since it is smaller than the sum of its proper divisors (4623526872).

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

2364764328 is a wasteful number, since it uses less digits than its factorization.

2364764328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3086 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 2364764328 is about 48628.8425525428. The cubic root of 2364764328 is about 1332.2813706380.

The spelling of 2364764328 in words is "two billion, three hundred sixty-four million, seven hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 227 306 408 454 459 612 681 908 918 1224 1362 1816 1836 2043 2724 2837 3672 3859 4086 5448 5674 6129 7718 8172 8511 11348 11577 12258 15436 16344 17022 22696 23154 24516 25533 30872 34044 34731 46308 48229 49032 51066 68088 69462 76599 92616 96458 102132 104193 138924 144687 153198 192916 204264 208386 277848 289374 306396 385832 416772 434061 578748 612792 643999 833544 868122 1157496 1287998 1302183 1736244 1931997 2575996 2604366 3472488 3863994 5151992 5208732 5795991 7727988 10417464 10947983 11591982 15455976 17387973 21895966 23183964 32843949 34775946 43791932 46367928 65687898 69551892 87583864 98531847 131375796 139103784 197063694 262751592 295595541 394127388 591191082 788254776 1182382164 2364764328