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108334656 = 2632192521
BaseRepresentation
bin1100111010100…
…00111001000000
321112211222012200
412131100321000
5210213202111
614425553200
72453554323
oct635207100
9245758180
10108334656
1156174481
1230345800
13195a1361
14105607ba
15979e256
hex6750e40

108334656 has 126 divisors (see below), whose sum is σ = 328354182. Its totient is φ = 34145280.

The previous prime is 108334651. The next prime is 108334663. The reversal of 108334656 is 656433801.

It can be written as a sum of positive squares in only one way, i.e., 83174400 + 25160256 = 9120^2 + 5016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 108334656.

It is not an unprimeable number, because it can be changed into a prime (108334651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207676 + ... + 208196.

Almost surely, 2108334656 is an apocalyptic number.

108334656 is a gapful number since it is divisible by the number (16) 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 108334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164177091).

108334656 is an abundant number, since it is smaller than the sum of its proper divisors (220019526).

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

108334656 is a wasteful number, since it uses less digits than its factorization.

108334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 108334656 is about 10408.3935359882. The cubic root of 108334656 is about 476.7116910758.

The spelling of 108334656 in words is "one hundred eight million, three hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 361 456 521 576 608 684 722 912 1042 1083 1216 1368 1444 1563 1824 2084 2166 2736 2888 3126 3249 3648 4168 4332 4689 5472 5776 6252 6498 8336 8664 9378 9899 10944 11552 12504 12996 16672 17328 18756 19798 23104 25008 25992 29697 33344 34656 37512 39596 50016 51984 59394 69312 75024 79192 89091 100032 103968 118788 150048 158384 178182 188081 207936 237576 300096 316768 356364 376162 475152 564243 633536 712728 752324 950304 1128486 1425456 1504648 1692729 1900608 2256972 2850912 3009296 3385458 4513944 5701824 6018592 6770916 9027888 12037184 13541832 18055776 27083664 36111552 54167328 108334656