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2307092928 = 26375633049
BaseRepresentation
bin1000100110000011…
…0111000111000000
312221210012110112020
42021200313013000
514211103433203
61020533001440
7111112652310
oct21140670700
95853173466
102307092928
11a84326078
12544783280
132a9c8975a
1417c597440
15d7823153
hex898371c0

2307092928 has 112 divisors (see below), whose sum is σ = 6990892800. Its totient is φ = 657782784.

The previous prime is 2307092897. The next prime is 2307092939. The reversal of 2307092928 is 8292907032.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×23070929282 = 10645355556855226368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2307092928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755148 + ... + 758196.

Almost surely, 22307092928 is an apocalyptic number.

2307092928 is a gapful number since it is divisible by the number (28) 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 2307092928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495446400).

2307092928 is an abundant number, since it is smaller than the sum of its proper divisors (4683799872).

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

2307092928 is a wasteful number, since it uses less digits than its factorization.

2307092928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2307092928 is about 48032.2071947563. The cubic root of 2307092928 is about 1321.3616435846.

The spelling of 2307092928 in words is "two billion, three hundred seven million, ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 563 672 1126 1344 1689 2252 3049 3378 3941 4504 6098 6756 7882 9008 9147 11823 12196 13512 15764 18016 18294 21343 23646 24392 27024 31528 36032 36588 42686 47292 48784 54048 63056 64029 73176 85372 94584 97568 108096 126112 128058 146352 170744 189168 195136 252224 256116 292704 341488 378336 512232 585408 682976 756672 1024464 1365952 1716587 2048928 3433174 4097856 5149761 6866348 10299522 12016109 13732696 20599044 24032218 27465392 36048327 41198088 48064436 54930784 72096654 82396176 96128872 109861568 144193308 164792352 192257744 288386616 329584704 384515488 576773232 769030976 1153546464 2307092928