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1312434504 = 2332131347401
BaseRepresentation
bin100111000111010…
…0010100101001000
310101110120120200100
41032032202211020
510141440401004
6334122005400
744344336443
oct11616424510
93343516610
101312434504
11613920517
12307646860
1317bb9c984
14c643a65a
157a349739
hex4e3a2948

1312434504 has 96 divisors (see below), whose sum is σ = 3600923040. Its totient is φ = 431808000.

The previous prime is 1312434499. The next prime is 1312434509. The reversal of 1312434504 is 4054342131.

It is a happy number.

1312434504 is a `hidden beast` number, since 1 + 3 + 124 + 34 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (1312434499) and next prime (1312434509).

It is not an unprimeable number, because it can be changed into a prime (1312434509) 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 23 ways as a sum of consecutive naturals, for example, 3272704 + ... + 3273104.

It is an arithmetic number, because the mean of its divisors is an integer number (37509615).

Almost surely, 21312434504 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 1312434504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800461520).

1312434504 is an abundant number, since it is smaller than the sum of its proper divisors (2288488536).

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

1312434504 is a wasteful number, since it uses less digits than its factorization.

1312434504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1312434504 is about 36227.5379235189. The cubic root of 1312434504 is about 1094.8615725430.

Adding to 1312434504 its reverse (4054342131), we get a palindrome (5366776635).

The spelling of 1312434504 in words is "one billion, three hundred twelve million, four hundred thirty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 347 393 401 524 694 786 802 1041 1048 1179 1203 1388 1572 1604 2082 2358 2406 2776 3123 3144 3208 3609 4164 4716 4812 6246 7218 8328 9432 9624 12492 14436 24984 28872 45457 52531 90914 105062 136371 139147 157593 181828 210124 272742 278294 315186 363656 409113 417441 420248 472779 545484 556588 630372 818226 834882 945558 1090968 1113176 1252323 1260744 1636452 1669764 1891116 2504646 3272904 3339528 3782232 5009292 10018584 18228257 36456514 54684771 72913028 109369542 145826056 164054313 218739084 328108626 437478168 656217252 1312434504