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108434768 = 2413796599
BaseRepresentation
bin1100111011010…
…01010101010000
321120001001112112
412131221111100
5210224403033
614432044452
72454452231
oct635512520
9246031475
10108434768
1156232712
1230393728
1319607ab0
1410589088
1597bdc48
hex6769550

108434768 has 40 divisors (see below), whose sum is σ = 229152000. Its totient is φ = 49405824.

The previous prime is 108434737. The next prime is 108434779. The reversal of 108434768 is 867434801.

It is a super-2 number, since 2×1084347682 = 23516197822427648, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 13133 + ... + 19731.

It is an arithmetic number, because the mean of its divisors is an integer number (5728800).

Almost surely, 2108434768 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 108434768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576000).

108434768 is an abundant number, since it is smaller than the sum of its proper divisors (120717232).

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

108434768 is a wasteful number, since it uses less digits than its factorization.

108434768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 108434768 is about 10413.2016210193. The cubic root of 108434768 is about 476.8584888761.

The spelling of 108434768 in words is "one hundred eight million, four hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 1027 1264 2054 4108 6599 8216 13198 16432 26396 52792 85787 105584 171574 343148 521321 686296 1042642 1372592 2085284 4170568 6777173 8341136 13554346 27108692 54217384 108434768