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2307923064 = 233379211641
BaseRepresentation
bin1000100110010000…
…0001110001111000
312221211202122021000
42021210001301320
514211312014224
61021002445000
7111123010446
oct21144016170
95854678230
102307923064
11a84842837
12544b03760
132aa1ba565
1417c731b96
15d79390c9
hex89901c78

2307923064 has 128 divisors (see below), whose sum is σ = 6532992000. Its totient is φ = 754790400.

The previous prime is 2307923039. The next prime is 2307923081. The reversal of 2307923064 is 4603297032.

It is a happy number.

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 congruent number.

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, 3600184 + ... + 3600824.

It is an arithmetic number, because the mean of its divisors is an integer number (51039000).

Almost surely, 22307923064 is an apocalyptic number.

2307923064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2307923064 is the 30384-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2307923064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266496000).

2307923064 is an abundant number, since it is smaller than the sum of its proper divisors (4225068936).

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

2307923064 is a wasteful number, since it uses less digits than its factorization.

2307923064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2307923064 is about 48040.8478692872. The cubic root of 2307923064 is about 1321.5201082797.

The spelling of 2307923064 in words is "two billion, three hundred seven million, nine hundred twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 211 216 237 316 422 474 632 633 641 711 844 948 1266 1282 1422 1688 1896 1899 1923 2133 2532 2564 2844 3798 3846 4266 5064 5128 5688 5697 5769 7596 7692 8532 11394 11538 15192 15384 16669 17064 17307 22788 23076 33338 34614 45576 46152 50007 50639 66676 69228 100014 101278 133352 135251 138456 150021 151917 200028 202556 270502 300042 303834 400056 405112 405753 450063 455751 541004 600084 607668 811506 900126 911502 1082008 1200168 1215336 1217259 1367253 1623012 1800252 1823004 2434518 2734506 3246024 3600504 3646008 3651777 4869036 5469012 7303554 9738072 10684829 10938024 14607108 21369658 29214216 32054487 42739316 64108974 85478632 96163461 128217948 192326922 256435896 288490383 384653844 576980766 769307688 1153961532 2307923064