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1312328736 = 253317471901
BaseRepresentation
bin100111000111000…
…1000110000100000
310101110101012121000
41032032020300200
510141424004421
6334115432000
744343416205
oct11616106040
93343335530
101312328736
11613859004
123075b5600
1317bb637a4
14c640dcac
157a328226
hex4e388c20

1312328736 has 192 divisors, whose sum is σ = 4141186560. Its totient is φ = 402739200.

The previous prime is 1312328723. The next prime is 1312328737. The reversal of 1312328736 is 6378232131.

It is a super-2 number, since 2×13123287362 = 3444413422662715392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1312328736.

It is not an unprimeable number, because it can be changed into a prime (1312328737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689386 + ... + 691286.

It is an arithmetic number, because the mean of its divisors is an integer number (21568680).

Almost surely, 21312328736 is an apocalyptic number.

1312328736 is a gapful number since it is divisible by the number (16) 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 1312328736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070593280).

1312328736 is an abundant number, since it is smaller than the sum of its proper divisors (2828857824).

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

1312328736 is a wasteful number, since it uses less digits than its factorization.

1312328736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1970 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 1312328736 is about 36226.0781206026. The cubic root of 1312328736 is about 1094.8321604264.

The spelling of 1312328736 in words is "one billion, three hundred twelve million, three hundred twenty-eight thousand, seven hundred thirty-six".