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1371340836 = 2232172891481
BaseRepresentation
bin101000110111101…
…0000000000100100
310112120102022222100
41101233100000210
510302030401321
6344024332100
745661130145
oct12157200044
93476368870
101371340836
116440a4738
12323314030
1318b155ba8
14d01b1acc
15805d3326
hex51bd0024

1371340836 has 108 divisors (see below), whose sum is σ = 3726237060. Its totient is φ = 425103360.

The previous prime is 1371340829. The next prime is 1371340847. The reversal of 1371340836 is 6380431731.

It can be written as a sum of positive squares in 6 ways, for example, as 11943936 + 1359396900 = 3456^2 + 36870^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1371340836.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 925216 + ... + 926696.

It is an arithmetic number, because the mean of its divisors is an integer number (34502195).

Almost surely, 21371340836 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 1371340836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863118530).

1371340836 is an abundant number, since it is smaller than the sum of its proper divisors (2354896224).

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

1371340836 is a wasteful number, since it uses less digits than its factorization.

1371340836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1592 counting only the distinct ones).

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

The square root of 1371340836 is about 37031.6194082841. The cubic root of 1371340836 is about 1111.0027558943.

The spelling of 1371340836 in words is "one billion, three hundred seventy-one million, three hundred forty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 89 102 153 178 204 267 289 306 356 534 578 612 801 867 1068 1156 1481 1513 1602 1734 2601 2962 3026 3204 3468 4443 4539 5202 5924 6052 8886 9078 10404 13329 13617 17772 18156 25177 25721 26658 27234 50354 51442 53316 54468 75531 77163 100708 102884 131809 151062 154326 226593 231489 263618 302124 308652 395427 428009 453186 462978 527236 790854 856018 906372 925956 1186281 1284027 1581708 1712036 2240753 2372562 2568054 3852081 4481506 4745124 5136108 6722259 7704162 8963012 13444518 15408324 20166777 26889036 38092801 40333554 76185602 80667108 114278403 152371204 228556806 342835209 457113612 685670418 1371340836