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81350304 = 2537177121
BaseRepresentation
bin1001101100101…
…00111010100000
312200002000122020
410312110322200
5131311202204
612023341440
72005315620
oct466247240
9180060566
1081350304
1141a13762
12232b1880
1313b13b99
14ab38880
15721dbd9
hex4d94ea0

81350304 has 96 divisors (see below), whose sum is σ = 258443136. Its totient is φ = 21872640.

The previous prime is 81350303. The next prime is 81350323. The reversal of 81350304 is 40305318.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (81350303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7864 + ... + 14984.

It is an arithmetic number, because the mean of its divisors is an integer number (2692116).

Almost surely, 281350304 is an apocalyptic number.

81350304 is a gapful number since it is divisible by the number (84) 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 81350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129221568).

81350304 is an abundant number, since it is smaller than the sum of its proper divisors (177092832).

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

81350304 is a wasteful number, since it uses less digits than its factorization.

81350304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 7150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 81350304 is about 9019.4403374045. The cubic root of 81350304 is about 433.2977096290.

The spelling of 81350304 in words is "eighty-one million, three hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 7121 11424 14242 21363 28484 42726 49847 56968 85452 99694 113936 121057 149541 170904 199388 227872 242114 299082 341808 363171 398776 484228 598164 683616 726342 797552 847399 968456 1196328 1452684 1595104 1694798 1936912 2392656 2542197 2905368 3389596 3873824 4785312 5084394 5810736 6779192 10168788 11621472 13558384 20337576 27116768 40675152 81350304