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2304645264 = 2433231631423
BaseRepresentation
bin1000100101011110…
…0001100010010000
312221121121002222000
42021113201202100
514204442122024
61020404314000
7111053106255
oct21127414220
95847532860
102304645264
11a82a04109
125439a2900
132a961062c
1417c11b42c
15d74dccc9
hex895e1890

2304645264 has 160 divisors (see below), whose sum is σ = 6950031360. Its totient is φ = 729793152.

The previous prime is 2304645253. The next prime is 2304645311. The reversal of 2304645264 is 4625464032.

2304645264 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 645 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×23046452642 = 10622779585755259392, which contains 22 as substring.

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

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, 1618857 + ... + 1620279.

It is an arithmetic number, because the mean of its divisors is an integer number (43437696).

Almost surely, 22304645264 is an apocalyptic number.

2304645264 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 2304645264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475015680).

2304645264 is an abundant number, since it is smaller than the sum of its proper divisors (4645386096).

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

2304645264 is a wasteful number, since it uses less digits than its factorization.

2304645264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2304645264 is about 48006.7210294559. The cubic root of 2304645264 is about 1320.8941875158.

The spelling of 2304645264 in words is "two billion, three hundred four million, six hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 163 184 207 216 276 326 368 414 432 489 552 621 652 828 978 1104 1242 1304 1423 1467 1656 1956 2484 2608 2846 2934 3312 3749 3912 4269 4401 4968 5692 5868 7498 7824 8538 8802 9936 11247 11384 11736 12807 14996 17076 17604 22494 22768 23472 25614 29992 32729 33741 34152 35208 38421 44988 51228 59984 65458 67482 68304 70416 76842 89976 98187 101223 102456 130916 134964 153684 179952 196374 202446 204912 231949 261832 269928 294561 307368 392748 404892 463898 523664 539856 589122 614736 695847 785496 809784 883683 927796 1178244 1391694 1570992 1619568 1767366 1855592 2087541 2356488 2783388 3534732 3711184 4175082 4712976 5334827 5566776 6262623 7069464 8350164 10669654 11133552 12525246 14138928 16004481 16700328 21339308 25050492 32008962 33400656 42678616 48013443 50100984 64017924 85357232 96026886 100201968 128035848 144040329 192053772 256071696 288080658 384107544 576161316 768215088 1152322632 2304645264