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3134911572 = 223413977673
BaseRepresentation
bin1011101011011010…
…1111010001010100
322002110220000020000
42322312233101110
522410014132242
61235024011300
7140454210612
oct27266572124
98073800200
103134911572
111369637511
12735a60b30
133ac62c780
1421a4c46b2
15135342a4c
hexbadaf454

3134911572 has 120 divisors (see below), whose sum is σ = 8917832616. Its totient is φ = 954519552.

The previous prime is 3134911553. The next prime is 3134911583. The reversal of 3134911572 is 2751194313.

3134911572 is a `hidden beast` number, since 3 + 13 + 491 + 157 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175986756 + 2958924816 = 13266^2 + 54396^2 .

It is a super-2 number, since 2×31349115722 = 19655341128519022368, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 404728 + ... + 412400.

Almost surely, 23134911572 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 3134911572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458916308).

3134911572 is an abundant number, since it is smaller than the sum of its proper divisors (5782921044).

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

3134911572 is a wasteful number, since it uses less digits than its factorization.

3134911572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799 (or 7788 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 3134911572 is about 55990.2810494822. The cubic root of 3134911572 is about 1463.5529238191.

The spelling of 3134911572 in words is "three billion, one hundred thirty-four million, nine hundred eleven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 97 108 117 156 162 194 234 291 324 351 388 468 582 702 873 1053 1164 1261 1404 1746 2106 2522 2619 3492 3783 4212 5044 5238 7566 7673 7857 10476 11349 15132 15346 15714 22698 23019 30692 31428 34047 45396 46038 68094 69057 92076 99749 102141 136188 138114 199498 204282 207171 276228 299247 398996 408564 414342 598494 621513 744281 828684 897741 1196988 1243026 1488562 1795482 2232843 2486052 2693223 2977124 3590964 4465686 5386446 6698529 8079669 8931372 9675653 10772892 13397058 16159338 19351306 20095587 26794116 29026959 32318676 38702612 40191174 58053918 60286761 80382348 87080877 116107836 120573522 174161754 241147044 261242631 348323508 522485262 783727893 1044970524 1567455786 3134911572