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324139104 = 25331392699
BaseRepresentation
bin10011010100011…
…111100001100000
3211120220222021000
4103110133201200
51130434422404
652055232000
711014064652
oct2324374140
9746828230
10324139104
11156a71563
1290678600
13522001b3
14310986d2
151d6cb339
hex1351f860

324139104 has 96 divisors (see below), whose sum is σ = 952560000. Its totient is φ = 107229312.

The previous prime is 324139087. The next prime is 324139111. The reversal of 324139104 is 401931423.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 118747 + ... + 121445.

It is an arithmetic number, because the mean of its divisors is an integer number (9922500).

Almost surely, 2324139104 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 324139104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280000).

324139104 is an abundant number, since it is smaller than the sum of its proper divisors (628420896).

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

324139104 is a wasteful number, since it uses less digits than its factorization.

324139104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 324139104 is about 18003.8635853530. The cubic root of 324139104 is about 686.9268242649.

The spelling of 324139104 in words is "three hundred twenty-four million, one hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 139 144 216 278 288 417 432 556 834 864 1112 1251 1668 2224 2502 2699 3336 3753 4448 5004 5398 6672 7506 8097 10008 10796 13344 15012 16194 20016 21592 24291 30024 32388 40032 43184 48582 60048 64776 72873 86368 97164 120096 129552 145746 194328 259104 291492 375161 388656 582984 750322 777312 1125483 1165968 1500644 2250966 2331936 3001288 3376449 4501932 6002576 6752898 9003864 10129347 12005152 13505796 18007728 20258694 27011592 36015456 40517388 54023184 81034776 108046368 162069552 324139104