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1314409768 = 23765935617
BaseRepresentation
bin100111001011000…
…0100110100101000
310101121021221020021
41032112010310220
510142442103033
6334232210224
744400204310
oct11626046450
93347257207
101314409768
11614a4a571
12308239974
1317c411a79
14c67d2440
157a5d9b2d
hex4e584d28

1314409768 has 32 divisors (see below), whose sum is σ = 2820945600. Its totient is φ = 562447872.

The previous prime is 1314409763. The next prime is 1314409769. The reversal of 1314409768 is 8679044131.

It is not an unprimeable number, because it can be changed into a prime (1314409763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19096 + ... + 54712.

It is an arithmetic number, because the mean of its divisors is an integer number (88154550).

Almost surely, 21314409768 is an apocalyptic number.

It is an amenable number.

1314409768 is an abundant number, since it is smaller than the sum of its proper divisors (1506535832).

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

1314409768 is a wasteful number, since it uses less digits than its factorization.

1314409768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36289 (or 36285 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 1314409768 is about 36254.7895870325. The cubic root of 1314409768 is about 1095.4105666951.

The spelling of 1314409768 in words is "one billion, three hundred fourteen million, four hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 659 1318 2636 4613 5272 9226 18452 35617 36904 71234 142468 249319 284936 498638 997276 1994552 23471603 46943206 93886412 164301221 187772824 328602442 657204884 1314409768