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3130332264 = 2333171396133
BaseRepresentation
bin1011101010010101…
…0001010001101000
322002011021100121000
42322211101101220
522402331113024
61234341515000
7140400246063
oct27245212150
98064240530
103130332264
111366a99a64
12734412a60
133ab6b8317
14219a518da
15134c3acc9
hexba951468

3130332264 has 128 divisors (see below), whose sum is σ = 9274608000. Its totient is φ = 974840832.

The previous prime is 3130332253. The next prime is 3130332307. The reversal of 3130332264 is 4622330313.

It is a happy number.

3130332264 is a `hidden beast` number, since 31 + 303 + 322 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507342 + ... + 513474.

It is an arithmetic number, because the mean of its divisors is an integer number (72457875).

Almost surely, 23130332264 is an apocalyptic number.

3130332264 is a gapful number since it is divisible by the number (34) 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 3130332264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637304000).

3130332264 is an abundant number, since it is smaller than the sum of its proper divisors (6144275736).

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

3130332264 is a wasteful number, since it uses less digits than its factorization.

3130332264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3130332264 is about 55949.3723289189. The cubic root of 3130332264 is about 1462.8399504285.

Adding to 3130332264 its reverse (4622330313), we get a palindrome (7752662577).

The spelling of 3130332264 in words is "three billion, one hundred thirty million, three hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 139 153 204 216 278 306 408 417 459 556 612 834 918 1112 1224 1251 1668 1836 2363 2502 3336 3672 3753 4726 5004 6133 7089 7506 9452 10008 12266 14178 15012 18399 18904 21267 24532 28356 30024 36798 42534 49064 55197 56712 63801 73596 85068 104261 110394 127602 147192 165591 170136 208522 220788 255204 312783 331182 417044 441576 510408 625566 662364 834088 852487 938349 1251132 1324728 1704974 1876698 2502264 2557461 2815047 3409948 3753396 5114922 5630094 6819896 7506792 7672383 10229844 11260188 14492279 15344766 20459688 22520376 23017149 28984558 30689532 43476837 46034298 57969116 61379064 86953674 92068596 115938232 130430511 173907348 184137192 260861022 347814696 391291533 521722044 782583066 1043444088 1565166132 3130332264