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104324352 = 2831153233
BaseRepresentation
bin1100011011111…
…01110100000000
321021022020002220
412031331310000
5203201334402
614204011040
72404512426
oct615756400
9237266086
10104324352
1153985480
122ab30a80
13187c8bb2
14dbd9116
15925adbc
hex637dd00

104324352 has 144 divisors (see below), whose sum is σ = 309935808. Its totient is φ = 30883840.

The previous prime is 104324351. The next prime is 104324369. The reversal of 104324352 is 253423401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104324351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447628 + ... + 447860.

It is an arithmetic number, because the mean of its divisors is an integer number (2152332).

Almost surely, 2104324352 is an apocalyptic number.

104324352 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 104324352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154967904).

104324352 is an abundant number, since it is smaller than the sum of its proper divisors (205611456).

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

104324352 is a wasteful number, since it uses less digits than its factorization.

104324352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 104324352 is about 10213.9293124634. The cubic root of 104324352 is about 470.7553148684.

Adding to 104324352 its reverse (253423401), we get a palindrome (357747753).

The spelling of 104324352 in words is "one hundred four million, three hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 233 256 264 318 352 384 424 466 528 583 636 699 704 768 848 932 1056 1166 1272 1398 1408 1696 1749 1864 2112 2332 2544 2563 2796 2816 3392 3498 3728 4224 4664 5088 5126 5592 6784 6996 7456 7689 8448 9328 10176 10252 11184 12349 13568 13992 14912 15378 18656 20352 20504 22368 24698 27984 29824 30756 37047 37312 40704 41008 44736 49396 55968 59648 61512 74094 74624 82016 89472 98792 111936 123024 135839 148188 149248 164032 178944 197584 223872 246048 271678 296376 328064 395168 407517 447744 492096 543356 592752 656128 790336 815034 984192 1086712 1185504 1580672 1630068 1968384 2173424 2371008 3161344 3260136 4346848 4742016 6520272 8693696 9484032 13040544 17387392 26081088 34774784 52162176 104324352