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1356382440 = 233257538247
BaseRepresentation
bin101000011011000…
…1100000011101000
310111112021100220200
41100312030003220
510234213214230
6342331552200
745420026520
oct12066140350
93445240820
101356382440
11636708226
1231a2bb660
1318801947a
14cc1da680
157e12b160
hex50d8c0e8

1356382440 has 96 divisors (see below), whose sum is σ = 5038001280. Its totient is φ = 310029696.

The previous prime is 1356382439. The next prime is 1356382471. The reversal of 1356382440 is 442836531.

1356382440 is a `hidden beast` number, since 13 + 5 + 638 + 2 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1356382395 and 1356382404.

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, 266604 + ... + 271643.

It is an arithmetic number, because the mean of its divisors is an integer number (52479180).

Almost surely, 21356382440 is an apocalyptic number.

1356382440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356382440 is an abundant number, since it is smaller than the sum of its proper divisors (3681618840).

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

1356382440 is a wasteful number, since it uses less digits than its factorization.

1356382440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538271 (or 538264 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1356382440 is about 36829.0977353505. The cubic root of 1356382440 is about 1106.9484238474.

The spelling of 1356382440 in words is "one billion, three hundred fifty-six million, three hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 538247 1076494 1614741 2152988 2691235 3229482 3767729 4305976 4844223 5382470 6458964 7535458 8073705 9688446 10764940 11303187 12917928 15070916 16147410 18838645 19376892 21529880 22606374 24221115 30141832 32294820 33909561 37677290 38753784 45212748 48442230 56515935 64589640 67819122 75354580 90425496 96884460 113031870 135638244 150709160 169547805 193768920 226063740 271276488 339095610 452127480 678191220 1356382440