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1317416364 = 2232119734297
BaseRepresentation
bin100111010000110…
…0010110110101100
310101210221200111200
41032201202312230
510144224310424
6334420445500
744434566015
oct11641426654
93353850450
101317416364
11616713460
12309249890
1317cc25414
14c6d7600c
157a9d08c9
hex4e862dac

1317416364 has 72 divisors (see below), whose sum is σ = 3670434768. Its totient is φ = 395089920.

The previous prime is 1317416273. The next prime is 1317416371. The reversal of 1317416364 is 4636147131.

1317416364 is a `hidden beast` number, since 1 + 3 + 17 + 4 + 1 + 636 + 4 = 666.

It is a super-2 number, since 2×13174163642 = 3471171752269960992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21264 + ... + 55560.

Almost surely, 21317416364 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 1317416364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835217384).

1317416364 is an abundant number, since it is smaller than the sum of its proper divisors (2353018404).

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

1317416364 is a wasteful number, since it uses less digits than its factorization.

1317416364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34415 (or 34410 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 1317416364 is about 36296.2307133950. The cubic root of 1317416364 is about 1096.2451489111.

The spelling of 1317416364 in words is "one billion, three hundred seventeen million, four hundred sixteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 1067 1164 1746 2134 3201 3492 4268 6402 9603 12804 19206 34297 38412 68594 102891 137188 205782 308673 377267 411564 617346 754534 1131801 1234692 1509068 2263602 3326809 3395403 4527204 6653618 6790806 9980427 13307236 13581612 19960854 29941281 36594899 39921708 59882562 73189798 109784697 119765124 146379596 219569394 329354091 439138788 658708182 1317416364