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103252336 = 24112321109
BaseRepresentation
bin1100010011110…
…00000101110000
321012021202120121
412021320011300
5202413033321
614125020024
72362426135
oct611700560
9235252517
10103252336
1153313010
122a6b4614
1318511c75
14d9da58c
1590e8441
hex6278170

103252336 has 60 divisors (see below), whose sum is σ = 228344760. Its totient is φ = 44851840.

The previous prime is 103252307. The next prime is 103252363. The reversal of 103252336 is 633252301.

It is a happy number.

It is a super-3 number, since 3×1032523363 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103252336.

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 11 ways as a sum of consecutive naturals, for example, 92550 + ... + 93658.

It is an arithmetic number, because the mean of its divisors is an integer number (3805746).

Almost surely, 2103252336 is an apocalyptic number.

103252336 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 103252336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114172380).

103252336 is an abundant number, since it is smaller than the sum of its proper divisors (125092424).

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

103252336 is a wasteful number, since it uses less digits than its factorization.

103252336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 103252336 is about 10161.3156628460. The cubic root of 103252336 is about 469.1372977854.

The spelling of 103252336 in words is "one hundred three million, two hundred fifty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 529 1012 1058 1109 2024 2116 2218 4048 4232 4436 5819 8464 8872 11638 12199 17744 23276 24398 25507 46552 48796 51014 93104 97592 102028 195184 204056 280577 408112 561154 586661 1122308 1173322 2244616 2346644 4489232 4693288 6453271 9386576 12906542 25813084 51626168 103252336