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90940344 = 233111723881
BaseRepresentation
bin1010110101110…
…10001110111000
320100010020200220
411122322032320
5141240042334
613005100040
72152660125
oct532721670
9210106626
1090940344
1147373910
1226557620
1315ac0c71
14c11374c
157eb5449
hex56ba3b8

90940344 has 128 divisors (see below), whose sum is σ = 274337280. Its totient is φ = 24780800.

The previous prime is 90940307. The next prime is 90940357. The reversal of 90940344 is 44304909.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 102784 + ... + 103664.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 290940344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90940344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

90940344 is an abundant number, since it is smaller than the sum of its proper divisors (183396936).

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

90940344 is a wasteful number, since it uses less digits than its factorization.

90940344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 90940344 is about 9536.2646775349. The cubic root of 90940344 is about 449.6958339592.

The spelling of 90940344 in words is "ninety million, nine hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 23 24 33 34 44 46 51 66 68 69 88 92 102 132 136 138 184 187 204 253 264 276 374 391 408 506 552 561 748 759 782 881 1012 1122 1173 1496 1518 1564 1762 2024 2244 2346 2643 3036 3128 3524 4301 4488 4692 5286 6072 7048 8602 9384 9691 10572 12903 14977 17204 19382 20263 21144 25806 29073 29954 34408 38764 40526 44931 51612 58146 59908 60789 77528 81052 89862 103224 116292 119816 121578 162104 164747 179724 222893 232584 243156 329494 344471 359448 445786 486312 494241 658988 668679 688942 891572 988482 1033413 1317976 1337358 1377884 1783144 1976964 2066826 2674716 2755768 3789181 3953928 4133652 5349432 7578362 8267304 11367543 15156724 22735086 30313448 45470172 90940344