Search a number
-
+
1314355968 = 2832570467
BaseRepresentation
bin100111001010111…
…0111101100000000
310101121012012102200
41032111313230000
510142433342333
6334231113200
744366561412
oct11625675400
93347165380
101314355968
11614a13102
12308212800
1317c3c3433
14c67ba9b2
157a5c8c13
hex4e577b00

1314355968 has 54 divisors (see below), whose sum is σ = 3789618924. Its totient is φ = 438117888.

The previous prime is 1314355967. The next prime is 1314356023. The reversal of 1314355968 is 8695534131.

1314355968 is a `hidden beast` number, since 1 + 31 + 4 + 3 + 559 + 68 = 666.

It is a super-2 number, since 2×13143559682 = 3455063221234434048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1314355961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282930 + ... + 287537.

Almost surely, 21314355968 is an apocalyptic number.

1314355968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1314355968 is an abundant number, since it is smaller than the sum of its proper divisors (2475262956).

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

1314355968 is an equidigital number, since it uses as much as digits as its factorization.

1314355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570489 (or 570472 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 1314355968 is about 36254.0476085085. The cubic root of 1314355968 is about 1095.3956211040.

The spelling of 1314355968 in words is "one billion, three hundred fourteen million, three hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 570467 1140934 1711401 2281868 3422802 4563736 5134203 6845604 9127472 10268406 13691208 18254944 20536812 27382416 36509888 41073624 54764832 73019776 82147248 109529664 146039552 164294496 219059328 328588992 438118656 657177984 1314355968