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5316134340 = 22351116214969
BaseRepresentation
bin1001111001101110…
…11100010111000100
3111201111020121100110
410330313130113010
541341412244330
62235303113020
7245511252636
oct47467342704
914644217313
105316134340
112288901460
121044442770
136694b842a
14386074a56
15211aa0db0
hex13cddc5c4

5316134340 has 96 divisors (see below), whose sum is σ = 16251661440. Its totient is φ = 1287705600.

The previous prime is 5316134339. The next prime is 5316134347. The reversal of 5316134340 is 434316135.

It is a super-2 number, since 2×53161343402 = 56522568641854471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5316134298 and 5316134307.

It is not an unprimeable number, because it can be changed into a prime (5316134347) 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, 1067376 + ... + 1072344.

It is an arithmetic number, because the mean of its divisors is an integer number (169288140).

Almost surely, 25316134340 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 5316134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125830720).

5316134340 is an abundant number, since it is smaller than the sum of its proper divisors (10935527100).

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

5316134340 is a wasteful number, since it uses less digits than its factorization.

5316134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 5316134340 is about 72911.8257897853. The cubic root of 5316134340 is about 1745.2808189478.

It can be divided in two parts, 5316 and 134340, that added together give a triangular number (139656 = T528).

The spelling of 5316134340 in words is "five billion, three hundred sixteen million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1621 3242 4863 4969 6484 8105 9726 9938 14907 16210 17831 19452 19876 24315 24845 29814 32420 35662 48630 49690 53493 54659 59628 71324 74535 89155 97260 99380 106986 109318 149070 163977 178310 213972 218636 267465 273295 298140 327954 356620 534930 546590 655908 819885 1069860 1093180 1639770 3279540 8054749 16109498 24164247 32218996 40273745 48328494 80547490 88602239 96656988 120821235 161094980 177204478 241642470 265806717 354408956 443011195 483284940 531613434 886022390 1063226868 1329033585 1772044780 2658067170 5316134340