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1312420304 = 241319732029
BaseRepresentation
bin100111000111001…
…1111000111010000
310101110112212012102
41032032133013100
510141434422204
6334121415532
744344250156
oct11616370720
93343485172
101312420304
11613910888
1230763a5a8
1317bb96380
14c64353d6
157a34541e
hex4e39f1d0

1312420304 has 40 divisors (see below), whose sum is σ = 2752401960. Its totient is φ = 602638848.

The previous prime is 1312420301. The next prime is 1312420327. The reversal of 1312420304 is 4030242131.

It can be written as a sum of positive squares in 4 ways, for example, as 30780304 + 1281640000 = 5548^2 + 35800^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312420301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24962 + ... + 56990.

It is an arithmetic number, because the mean of its divisors is an integer number (68810049).

Almost surely, 21312420304 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 1312420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376200980).

1312420304 is an abundant number, since it is smaller than the sum of its proper divisors (1439981656).

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

1312420304 is a wasteful number, since it uses less digits than its factorization.

1312420304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32247 (or 32241 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1312420304 is about 36227.3419394799. The cubic root of 1312420304 is about 1094.8576238785.

Adding to 1312420304 its reverse (4030242131), we get a palindrome (5342662435).

The spelling of 1312420304 in words is "one billion, three hundred twelve million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 197 208 394 788 1576 2561 3152 5122 10244 20488 32029 40976 64058 128116 256232 416377 512464 832754 1665508 3331016 6309713 6662032 12619426 25238852 50477704 82026269 100955408 164052538 328105076 656210152 1312420304