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1314283808 = 25193721579
BaseRepresentation
bin100111001010110…
…0110000100100000
310101121001112110002
41032111212010200
510142424040213
6334225355132
744366141135
oct11625460440
93347045402
101314283808
11614973972
12308198aa8
1317c399636
14c679c58c
157a5b2658
hex4e566120

1314283808 has 72 divisors (see below), whose sum is σ = 2801055600. Its totient is φ = 605346048.

The previous prime is 1314283807. The next prime is 1314283819. The reversal of 1314283808 is 8083824131.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (1314283807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 831563 + ... + 833141.

It is an arithmetic number, because the mean of its divisors is an integer number (38903550).

Almost surely, 21314283808 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 1314283808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400527800).

1314283808 is an abundant number, since it is smaller than the sum of its proper divisors (1486771792).

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

1314283808 is a wasteful number, since it uses less digits than its factorization.

1314283808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 1314283808 is about 36253.0523956259. The cubic root of 1314283808 is about 1095.3755744813.

The spelling of 1314283808 in words is "one billion, three hundred fourteen million, two hundred eighty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 296 304 592 608 703 1184 1369 1406 1579 2738 2812 3158 5476 5624 6316 10952 11248 12632 21904 22496 25264 26011 30001 43808 50528 52022 58423 60002 104044 116846 120004 208088 233692 240008 416176 467384 480016 832352 934768 960032 1110037 1869536 2161651 2220074 4323302 4440148 8646604 8880296 17293208 17760592 34586416 35521184 41071369 69172832 82142738 164285476 328570952 657141904 1314283808