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1312651340 = 22571113173379
BaseRepresentation
bin100111000111101…
…0111100001001100
310101110222121010022
41032033113201030
510142014320330
6334130401312
744346231560
oct11617274114
93343877108
101312651340
11613a59420
12307730238
1317bc47590
14c64956a0
157a38dae5
hex4e3d784c

1312651340 has 192 divisors, whose sum is σ = 3732341760. Its totient is φ = 374492160.

The previous prime is 1312651289. The next prime is 1312651363. The reversal of 1312651340 is 431562131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3463271 + ... + 3463649.

It is an arithmetic number, because the mean of its divisors is an integer number (19439280).

Almost surely, 21312651340 is an apocalyptic number.

1312651340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312651340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866170880).

1312651340 is an abundant number, since it is smaller than the sum of its proper divisors (2419690420).

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

1312651340 is a wasteful number, since it uses less digits than its factorization.

1312651340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1312651340 is about 36230.5304957021. The cubic root of 1312651340 is about 1094.9218656674.

The spelling of 1312651340 in words is "one billion, three hundred twelve million, six hundred fifty-one thousand, three hundred forty".