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1314808376 = 23727942457
BaseRepresentation
bin100111001011110…
…0110001000111000
310101122001012000112
41032113212020320
510143042332001
6334244523452
744403454400
oct11627461070
93348035015
101314808376
116151a1aa2
123083b0588
1317c52132b
14c6897800
157a667cbb
hex4e5e6238

1314808376 has 48 divisors (see below), whose sum is σ = 2904127200. Its totient is φ = 556343424.

The previous prime is 1314808361. The next prime is 1314808381. The reversal of 1314808376 is 6738084131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9740 + ... + 52196.

It is an arithmetic number, because the mean of its divisors is an integer number (60502650).

Almost surely, 21314808376 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 1314808376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452063600).

1314808376 is an abundant number, since it is smaller than the sum of its proper divisors (1589318824).

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

1314808376 is a wasteful number, since it uses less digits than its factorization.

1314808376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42556 (or 42545 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 1314808376 is about 36260.2864853547. The cubic root of 1314808376 is about 1095.5212869324.

The spelling of 1314808376 in words is "one billion, three hundred fourteen million, eight hundred eight thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 79 98 158 196 316 392 553 632 1106 2212 3871 4424 7742 15484 30968 42457 84914 169828 297199 339656 594398 1188796 2080393 2377592 3354103 4160786 6708206 8321572 13416412 16643144 23478721 26832824 46957442 93914884 164351047 187829768 328702094 657404188 1314808376