Search a number
-
+
3130475904 = 27332339383
BaseRepresentation
bin1011101010010111…
…0100010110000000
322002011112122122000
42322211310112000
522402400212104
61234344544000
7140401414623
oct27245642600
98064478560
103130475904
111367087976
12734482000
133ab73880a
14219a8bdba
15134c68639
hexba974580

3130475904 has 128 divisors (see below), whose sum is σ = 9641203200. Its totient is φ = 998097408.

The previous prime is 3130475879. The next prime is 3130475917. The reversal of 3130475904 is 4095740313.

3130475904 is a `hidden beast` number, since 31 + 30 + 4 + 7 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59797 + ... + 99179.

It is an arithmetic number, because the mean of its divisors is an integer number (75321900).

Almost surely, 23130475904 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 3130475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820601600).

3130475904 is an abundant number, since it is smaller than the sum of its proper divisors (6510727296).

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

3130475904 is a wasteful number, since it uses less digits than its factorization.

3130475904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39429 (or 39411 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3130475904 is about 55950.6559747069. The cubic root of 3130475904 is about 1462.8623249561.

The spelling of 3130475904 in words is "three billion, one hundred thirty million, four hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 2208 2484 2944 3312 3456 4416 4968 6624 8832 9936 13248 19872 26496 39383 39744 78766 79488 118149 157532 236298 315064 354447 472596 630128 708894 905809 945192 1063341 1260256 1417788 1811618 1890384 2126682 2520512 2717427 2835576 3623236 3780768 4253364 5041024 5434854 5671152 7246472 7561536 8152281 8506728 10869708 11342304 14492944 15123072 16304562 17013456 21739416 22684608 24456843 28985888 32609124 34026912 43478832 45369216 48913686 57971776 65218248 68053824 86957664 97827372 115943552 130436496 136107648 173915328 195654744 260872992 347830656 391309488 521745984 782618976 1043491968 1565237952 3130475904