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1312320348 = 2232195993203
BaseRepresentation
bin100111000111000…
…0110101101011100
310101110100210002100
41032032012231130
510141423222343
6334115325100
744343352563
oct11616065534
93343323070
101312320348
11613852779
123075b0790
1317bb5ca21
14c640abda
157a3259d3
hex4e386b5c

1312320348 has 72 divisors (see below), whose sum is σ = 3498768000. Its totient is φ = 413595936.

The previous prime is 1312320319. The next prime is 1312320349. The reversal of 1312320348 is 8430232131.

1312320348 is a `hidden beast` number, since 1 + 312 + 3 + 2 + 0 + 348 = 666.

1312320348 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13123203482 = 3444369391549682208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312320349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408115 + ... + 411317.

It is an arithmetic number, because the mean of its divisors is an integer number (48594000).

Almost surely, 21312320348 is an apocalyptic number.

1312320348 is a gapful number since it is divisible by the number (18) 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 1312320348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749384000).

1312320348 is an abundant number, since it is smaller than the sum of its proper divisors (2186447652).

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

1312320348 is a wasteful number, since it uses less digits than its factorization.

1312320348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1312320348 is about 36225.9623474657. The cubic root of 1312320348 is about 1094.8298278118.

Adding to 1312320348 its reverse (8430232131), we get a palindrome (9742552479).

The spelling of 1312320348 in words is "one billion, three hundred twelve million, three hundred twenty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 599 684 1198 1797 2396 3203 3594 5391 6406 7188 9609 10782 11381 12812 19218 21564 22762 28827 34143 38436 45524 57654 60857 68286 102429 115308 121714 136572 182571 204858 243428 365142 409716 547713 730284 1095426 1918597 2190852 3837194 5755791 7674388 11511582 17267373 23023164 34534746 36453343 69069492 72906686 109360029 145813372 218720058 328080087 437440116 656160174 1312320348