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8304793920 = 26345320401
BaseRepresentation
bin1111011110000000…
…10001100101000000
3210102202221020120000
413233000101211000
5114002011401140
63452024320000
7412541404113
oct75700214500
923382836500
108304793920
113581926655
121739313000
13a2472bc57
1458ad6857a
15339154a30
hex1ef011940

8304793920 has 140 divisors (see below), whose sum is σ = 29541705204. Its totient is φ = 2214604800.

The previous prime is 8304793907. The next prime is 8304793927. The reversal of 8304793920 is 293974038.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1159811136 + 7144982784 = 34056^2 + 84528^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8304793927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134281 + ... + 186120.

Almost surely, 28304793920 is an apocalyptic number.

8304793920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8304793920 is an abundant number, since it is smaller than the sum of its proper divisors (21236911284).

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

8304793920 is a wasteful number, since it uses less digits than its factorization.

8304793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320430 (or 320411 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 8304793920 is about 91130.6420475572. The cubic root of 8304793920 is about 2025.0835850272.

The spelling of 8304793920 in words is "eight billion, three hundred four million, seven hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 320401 640802 961203 1281604 1602005 1922406 2563208 2883609 3204010 3844812 4806015 5126416 5767218 6408020 7689624 8650827 9612030 10252832 11534436 12816040 14418045 15379248 17301654 19224060 20505664 23068872 25632080 25952481 28836090 30758496 34603308 38448120 43254135 46137744 51264160 51904962 57672180 61516992 69206616 76896240 86508270 92275488 102528320 103809924 115344360 129762405 138413232 153792480 173016540 184550976 207619848 230688720 259524810 276826464 307584960 346033080 415239696 461377440 519049620 553652928 692066160 830479392 922754880 1038099240 1384132320 1660958784 2076198480 2768264640 4152396960 8304793920