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1317399768 = 233317358769
BaseRepresentation
bin100111010000101…
…1110110011011000
310101210220211202000
41032201132303120
510144223243033
6334420241000
744434466436
oct11641366330
93353824660
101317399768
11616701a43
12309240160
1317cc1a9b9
14c6d6dd56
157a9caa13
hex4e85ecd8

1317399768 has 64 divisors (see below), whose sum is σ = 3874716000. Its totient is φ = 413300736.

The previous prime is 1317399757. The next prime is 1317399779. The reversal of 1317399768 is 8679937131.

1317399768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1317399757) and next prime (1317399779).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 175713 + ... + 183056.

Almost surely, 21317399768 is an apocalyptic number.

1317399768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1317399768 is an abundant number, since it is smaller than the sum of its proper divisors (2557316232).

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

1317399768 is a wasteful number, since it uses less digits than its factorization.

1317399768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358801 (or 358791 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The square root of 1317399768 is about 36296.0020938946. The cubic root of 1317399768 is about 1096.2405456180.

The spelling of 1317399768 in words is "one billion, three hundred seventeen million, three hundred ninety-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 358769 717538 1076307 1435076 2152614 2870152 3228921 4305228 6099073 6457842 8610456 9686763 12198146 12915684 18297219 19373526 24396292 25831368 36594438 38747052 48792584 54891657 73188876 77494104 109783314 146377752 164674971 219566628 329349942 439133256 658699884 1317399768