Search a number
-
+
108323456 = 271767743
BaseRepresentation
bin1100111010011…
…10001010000000
321112211101211212
412131032022000
5210212322311
614425425252
72453506553
oct635161200
9245741755
10108323456
115616701a
123033b228
1319599227
141055a69a
15979ac8b
hex674e280

108323456 has 64 divisors (see below), whose sum is σ = 232217280. Its totient is φ = 50147328.

The previous prime is 108323441. The next prime is 108323519. The reversal of 108323456 is 654323801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1083234562 = 23467942239567872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 145421 + ... + 146163.

It is an arithmetic number, because the mean of its divisors is an integer number (3628395).

Almost surely, 2108323456 is an apocalyptic number.

108323456 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 108323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116108640).

108323456 is an abundant number, since it is smaller than the sum of its proper divisors (123893824).

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

108323456 is an equidigital number, since it uses as much as digits as its factorization.

108323456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 108323456 is about 10407.8554947693. The cubic root of 108323456 is about 476.6952624919.

The spelling of 108323456 in words is "one hundred eight million, three hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 128 134 136 268 272 536 544 743 1072 1088 1139 1486 2144 2176 2278 2972 4288 4556 5944 8576 9112 11888 12631 18224 23776 25262 36448 47552 49781 50524 72896 95104 99562 101048 145792 199124 202096 398248 404192 796496 808384 846277 1592992 1616768 1692554 3185984 3385108 6371968 6770216 13540432 27080864 54161728 108323456