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32034232104 = 23371922694423
BaseRepresentation
bin11101110101011000…
…111001011100101000
310001200112001121012220
4131311120321130220
51011101230411404
622414420434040
72212560323460
oct356530713450
9101615047186
1032034232104
1112649541796
126260248920
133036966834
14179c694ba0
15c774ee4d9
hex775639728

32034232104 has 128 divisors (see below), whose sum is σ = 96407808000. Its totient is φ = 8665138944.

The previous prime is 32034232103. The next prime is 32034232141. The reversal of 32034232104 is 40123243023.

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 (32034232103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7240437 + ... + 7244859.

It is an arithmetic number, because the mean of its divisors is an integer number (753186000).

Almost surely, 232034232104 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 32034232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48203904000).

32034232104 is an abundant number, since it is smaller than the sum of its proper divisors (64373575896).

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

32034232104 is a wasteful number, since it uses less digits than its factorization.

32034232104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 32034232104 its reverse (40123243023), we get a palindrome (72157475127).

The spelling of 32034232104 in words is "thirty-two billion, thirty-four million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 2269 3192 4423 4538 6807 8846 9076 13269 13614 15883 17692 18152 26538 27228 30961 31766 35384 43111 47649 53076 54456 61922 63532 84037 86222 92883 95298 106152 123844 127064 129333 168074 172444 185766 190596 247688 252111 258666 301777 336148 344888 371532 381192 504222 517332 588259 603554 672296 743064 905331 1008444 1034664 1176518 1207108 1764777 1810662 2016888 2353036 2414216 3529554 3621324 4706072 7059108 7242648 10035787 14118216 20071574 30107361 40143148 60214722 70250509 80286296 120429444 140501018 190679953 210751527 240858888 281002036 381359906 421503054 562004072 572039859 762719812 843006108 1144079718 1334759671 1525439624 1686012216 2288159436 2669519342 4004279013 4576318872 5339038684 8008558026 10678077368 16017116052 32034232104