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32304124104 = 2337736134297
BaseRepresentation
bin11110000101011110…
…011101000011001000
310002101022220112102220
4132011132131003020
51012124323432404
622501301254040
72222345344560
oct360536350310
9102338815386
1032304124104
111277792162a
126316704320
13307a852445
1417c646bda0
15c910624d9
hex78579d0c8

32304124104 has 128 divisors (see below), whose sum is σ = 93736285440. Its totient is φ = 9086349312.

The previous prime is 32304124103. The next prime is 32304124109. The reversal of 32304124104 is 40142140323.

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

It is not an unprimeable number, because it can be changed into a prime (32304124103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7515684 + ... + 7519980.

It is an arithmetic number, because the mean of its divisors is an integer number (732314730).

Almost surely, 232304124104 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 32304124104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46868142720).

32304124104 is an abundant number, since it is smaller than the sum of its proper divisors (61432161336).

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

32304124104 is a wasteful number, since it uses less digits than its factorization.

32304124104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 32304124104 its reverse (40142140323), we get a palindrome (72446264427).

The spelling of 32304124104 in words is "thirty-two billion, three hundred four million, one hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 613 876 1022 1226 1533 1752 1839 2044 2452 3066 3678 4088 4291 4297 4904 6132 7356 8582 8594 12264 12873 12891 14712 17164 17188 25746 25782 30079 34328 34376 44749 51492 51564 60158 89498 90237 102984 103128 120316 134247 178996 180474 240632 268494 313243 313681 357992 360948 536988 626486 627362 721896 939729 941043 1073976 1252972 1254724 1879458 1882086 2195767 2505944 2509448 2634061 3758916 3764172 4391534 5268122 6587301 7517832 7528344 7902183 8783068 10536244 13174602 15804366 17566136 18438427 21072488 26349204 31608732 36876854 52698408 55315281 63217464 73753708 110630562 147507416 192286453 221261124 384572906 442522248 576859359 769145812 1153718718 1346005171 1538291624 2307437436 2692010342 4038015513 4614874872 5384020684 8076031026 10768041368 16152062052 32304124104