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108938304 = 2633232741
BaseRepresentation
bin1100111111001…
…00010001000000
321120222122021000
412133210101000
5210342011204
614450532000
72461650246
oct637442100
9246878230
10108938304
1156546a62
1230597000
1319753047
141067a796
15986d039
hex67e4440

108938304 has 112 divisors (see below), whose sum is σ = 334304640. Its totient is φ = 34721280.

The previous prime is 108938237. The next prime is 108938311. The reversal of 108938304 is 403839801.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38374 + ... + 41114.

Almost surely, 2108938304 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 108938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167152320).

108938304 is an abundant number, since it is smaller than the sum of its proper divisors (225366336).

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

108938304 is a wasteful number, since it uses less digits than its factorization.

108938304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 108938304 is about 10437.3513881636. The cubic root of 108938304 is about 477.5954748189.

It can be divided in two parts, 1089 and 38304, that added together give a palindrome (39393).

The spelling of 108938304 in words is "one hundred eight million, nine hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 2741 3312 4416 4968 5482 6624 8223 9936 10964 13248 16446 19872 21928 24669 32892 39744 43856 49338 63043 65784 74007 87712 98676 126086 131568 148014 175424 189129 197352 252172 263136 296028 378258 394704 504344 526272 567387 592056 756516 789408 1008688 1134774 1184112 1513032 1578816 1702161 2017376 2269548 2368224 3026064 3404322 4034752 4539096 4736448 6052128 6808644 9078192 12104256 13617288 18156384 27234576 36312768 54469152 108938304