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104044032 = 293267337
BaseRepresentation
bin1100011001110…
…01011000000000
321020202222120200
412030321120000
5203113402112
614154005200
72402234241
oct614713000
9236688520
10104044032
1153803904
122aa16800
131872b421
14db64cc8
159202cdc
hex6339600

104044032 has 120 divisors (see below), whose sum is σ = 305664216. Its totient is φ = 34062336.

The previous prime is 104044021. The next prime is 104044033. The reversal of 104044032 is 230440401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104043996 and 104044014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104044033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308568 + ... + 308904.

Almost surely, 2104044032 is an apocalyptic number.

104044032 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 104044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152832108).

104044032 is an abundant number, since it is smaller than the sum of its proper divisors (201620184).

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

104044032 is an equidigital number, since it uses as much as digits as its factorization.

104044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104044032 is about 10200.1976451439. The cubic root of 104044032 is about 470.3332961088. Note that the first 3 decimals are identical.

Adding to 104044032 its reverse (230440401), we get a palindrome (334484433).

The spelling of 104044032 in words is "one hundred four million, forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 337 384 402 512 536 576 603 674 768 804 1011 1072 1152 1206 1348 1536 1608 2022 2144 2304 2412 2696 3033 3216 4044 4288 4608 4824 5392 6066 6432 8088 8576 9648 10784 12132 12864 16176 17152 19296 21568 22579 24264 25728 32352 34304 38592 43136 45158 48528 51456 64704 67737 77184 86272 90316 97056 102912 129408 135474 154368 172544 180632 194112 203211 258816 270948 308736 361264 388224 406422 517632 541896 722528 776448 812844 1083792 1445056 1552896 1625688 2167584 2890112 3251376 4335168 5780224 6502752 8670336 11560448 13005504 17340672 26011008 34681344 52022016 104044032