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109436352 = 26319131229
BaseRepresentation
bin1101000010111…
…01110111000000
321121220221110020
412201131313000
5211003430402
614505333440
72466123264
oct641356700
9247827406
10109436352
1156857173
1230797280
131989894c
141076a0a4
15991a8bc
hex685ddc0

109436352 has 112 divisors (see below), whose sum is σ = 308457600. Its totient is φ = 34145280.

The previous prime is 109436317. The next prime is 109436377. The reversal of 109436352 is 253634901.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 477774 + ... + 478002.

Almost surely, 2109436352 is an apocalyptic number.

109436352 is a gapful number since it is divisible by the number (12) 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 109436352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154228800).

109436352 is an abundant number, since it is smaller than the sum of its proper divisors (199021248).

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

109436352 is a wasteful number, since it uses less digits than its factorization.

109436352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 109436352 is about 10461.1831070869. The cubic root of 109436352 is about 478.3221977629.

The spelling of 109436352 in words is "one hundred nine million, four hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 131 152 192 228 229 262 304 393 456 458 524 608 687 786 912 916 1048 1216 1374 1572 1824 1832 2096 2489 2748 3144 3648 3664 4192 4351 4978 5496 6288 7328 7467 8384 8702 9956 10992 12576 13053 14656 14934 17404 19912 21984 25152 26106 29868 29999 34808 39824 43968 52212 59736 59998 69616 79648 89997 104424 119472 119996 139232 159296 179994 208848 238944 239992 278464 359988 417696 477888 479984 569981 719976 835392 959968 1139962 1439952 1709943 1919936 2279924 2879904 3419886 4559848 5759808 6839772 9119696 13679544 18239392 27359088 36478784 54718176 109436352