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104329632 = 25311313187
BaseRepresentation
bin1100011011111…
…11000110100000
321021022111100110
412031333012200
5203202022012
614204051320
72404534011
oct615770640
9237274313
10104329632
1153989440
122ab33b40
13187cb414
14dbdb008
15925c73c
hex637f1a0

104329632 has 96 divisors (see below), whose sum is σ = 308496384. Its totient is φ = 30585600.

The previous prime is 104329619. The next prime is 104329637. The reversal of 104329632 is 236923401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1043296322 = 21769344226510848, which contains 22 as substring.

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 a self number, because there is not a number n which added to its sum of digits gives 104329632.

It is not an unprimeable number, because it can be changed into a prime (104329637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31143 + ... + 34329.

It is an arithmetic number, because the mean of its divisors is an integer number (3213504).

Almost surely, 2104329632 is an apocalyptic number.

104329632 is a gapful number since it is divisible by the number (12) 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 104329632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154248192).

104329632 is an abundant number, since it is smaller than the sum of its proper divisors (204166752).

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

104329632 is a wasteful number, since it uses less digits than its factorization.

104329632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 104329632 is about 10214.1877797503. The cubic root of 104329632 is about 470.7632565940.

The spelling of 104329632 in words is "one hundred four million, three hundred twenty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 3187 4092 5456 6374 8184 9561 10912 12748 16368 19122 25496 32736 35057 38244 50992 70114 76488 98797 101984 105171 140228 152976 197594 210342 280456 296391 305952 395188 420684 560912 592782 790376 841368 1086767 1121824 1185564 1580752 1682736 2173534 2371128 3161504 3260301 3365472 4347068 4742256 6520602 8694136 9484512 13041204 17388272 26082408 34776544 52164816 104329632