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1340640288 = 253313119359
BaseRepresentation
bin100111111101000…
…1000110000100000
310110102122120202000
41033322020300200
510221200442123
6341010324000
745136153161
oct11772106040
93412576660
101340640288
11628835989
12314b89600
131849970a0
14ca09d768
157ca6bb43
hex4fe88c20

1340640288 has 96 divisors (see below), whose sum is σ = 4211020800. Its totient is φ = 412501248.

The previous prime is 1340640271. The next prime is 1340640299. The reversal of 1340640288 is 8820460431.

1340640288 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 640 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48448 + ... + 70911.

It is an arithmetic number, because the mean of its divisors is an integer number (43864800).

Almost surely, 21340640288 is an apocalyptic number.

1340640288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1340640288 is an abundant number, since it is smaller than the sum of its proper divisors (2870380512).

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

1340640288 is a wasteful number, since it uses less digits than its factorization.

1340640288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119391 (or 119377 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1340640288 is about 36614.7550585826. The cubic root of 1340640288 is about 1102.6493406844.

The spelling of 1340640288 in words is "one billion, three hundred forty million, six hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 119359 238718 358077 477436 716154 954872 1074231 1432308 1551667 1909744 2148462 2864616 3103334 3222693 3819488 4296924 4655001 5729232 6206668 6445386 8593848 9310002 11458464 12413336 12890772 13965003 17187696 18620004 24826672 25781544 27930006 34375392 37240008 41895009 49653344 51563088 55860012 74480016 83790018 103126176 111720024 148960032 167580036 223440048 335160072 446880096 670320144 1340640288