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1314210330 = 232517858961
BaseRepresentation
bin100111001010101…
…0100001000011010
310101120220210122200
41032111110020122
510142414212310
6334224031030
744365413666
oct11625241032
93346823580
101314210330
11614923744
12308162476
1317c372064
14c677d8a6
157a59a9c0
hex4e55421a

1314210330 has 48 divisors (see below), whose sum is σ = 3617947944. Its totient is φ = 329840640.

The previous prime is 1314210329. The next prime is 1314210353. The reversal of 1314210330 is 330124131.

1314210330 is a `hidden beast` number, since 1 + 314 + 21 + 0 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1310512401 + 3697929 = 36201^2 + 1923^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 427951 + ... + 431010.

Almost surely, 21314210330 is an apocalyptic number.

1314210330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1314210330 is an abundant number, since it is smaller than the sum of its proper divisors (2303737614).

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

1314210330 is a wasteful number, since it uses less digits than its factorization.

1314210330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858991 (or 858988 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1314210330 is about 36252.0389771389. The cubic root of 1314210330 is about 1095.3551609537.

Adding to 1314210330 its reverse (330124131), we get a palindrome (1644334461).

The spelling of 1314210330 in words is "one billion, three hundred fourteen million, two hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 858961 1717922 2576883 4294805 5153766 7730649 8589610 12884415 14602337 15461298 25768830 29204674 38653245 43807011 73011685 77306490 87614022 131421033 146023370 219035055 262842066 438070110 657105165 1314210330