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3204310116 = 223732932657
BaseRepresentation
bin1011111011111101…
…1110010001100100
322021022110211010110
42332333132101210
523030300410431
61245543253020
7142256121000
oct27677362144
98238424113
103204310116
1113a4827687
1275514a170
133c0b1a5b7
142257cb700
1513b4a0346
hexbefde464

3204310116 has 96 divisors (see below), whose sum is σ = 8752262400. Its totient is φ = 912049152.

The previous prime is 3204310111. The next prime is 3204310177. The reversal of 3204310116 is 6110134023.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3204310092 and 3204310101.

It is not an unprimeable number, because it can be changed into a prime (3204310111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1204660 + ... + 1207316.

It is an arithmetic number, because the mean of its divisors is an integer number (91169400).

Almost surely, 23204310116 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 3204310116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376131200).

3204310116 is an abundant number, since it is smaller than the sum of its proper divisors (5547952284).

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

3204310116 is a wasteful number, since it uses less digits than its factorization.

3204310116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3204310116 is about 56606.6260785785. The cubic root of 3204310116 is about 1474.2739110984.

Adding to 3204310116 its reverse (6110134023), we get a palindrome (9314444139).

The spelling of 3204310116 in words is "three billion, two hundred four million, three hundred ten thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 293 294 343 586 588 686 879 1029 1172 1372 1758 2051 2058 2657 3516 4102 4116 5314 6153 7971 8204 10628 12306 14357 15942 18599 24612 28714 31884 37198 43071 55797 57428 74396 86142 100499 111594 130193 172284 200998 223188 260386 301497 390579 401996 520772 602994 778501 781158 911351 1205988 1557002 1562316 1822702 2335503 2734053 3114004 3645404 4671006 5449507 5468106 9342012 10899014 10936212 16348521 21798028 32697042 38146549 65394084 76293098 114439647 152586196 228879294 267025843 457758588 534051686 801077529 1068103372 1602155058 3204310116