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102961344 = 2632632039
BaseRepresentation
bin1100010001100…
…01000011000000
321011201222102010
412020301003000
5202324230334
614114452520
72360104563
oct610610300
9234658363
10102961344
1153134422
122a594140
131843c695
14d9624da
15908c0e9
hex62310c0

102961344 has 56 divisors (see below), whose sum is σ = 273588480. Its totient is φ = 34173184.

The previous prime is 102961321. The next prime is 102961357. The reversal of 102961344 is 443169201.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49477 + ... + 51515.

Almost surely, 2102961344 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 102961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136794240).

102961344 is an abundant number, since it is smaller than the sum of its proper divisors (170627136).

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

102961344 is a wasteful number, since it uses less digits than its factorization.

102961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 102961344 is about 10146.9869419449. The cubic root of 102961344 is about 468.6961660487.

The spelling of 102961344 in words is "one hundred two million, nine hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 263 526 789 1052 1578 2039 2104 3156 4078 4208 6117 6312 8156 8416 12234 12624 16312 16832 24468 25248 32624 48936 50496 65248 97872 130496 195744 391488 536257 1072514 1608771 2145028 3217542 4290056 6435084 8580112 12870168 17160224 25740336 34320448 51480672 102961344