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1334000313 = 33411637393
BaseRepresentation
bin100111110000011…
…0011101010111001
310102222011020102000
41033200303222321
510213001002223
6340212131213
745025546512
oct11740635271
93388136360
101334000313
116250101a8
12312906b09
131834b09c9
14c9251a09
157c1a9543
hex4f833ab9

1334000313 has 32 divisors (see below), whose sum is σ = 2037194880. Its totient is φ = 862202880.

The previous prime is 1334000293. The next prime is 1334000323. The reversal of 1334000313 is 3130004331.

1334000313 is a `hidden beast` number, since 13 + 340 + 0 + 0 + 313 = 666.

It is not a de Polignac number, because 1334000313 - 212 = 1333996217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1334000323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176745 + ... + 184137.

It is an arithmetic number, because the mean of its divisors is an integer number (63662340).

Almost surely, 21334000313 is an apocalyptic number.

It is an amenable number.

1334000313 is a deficient number, since it is larger than the sum of its proper divisors (703194567).

1334000313 is a wasteful number, since it uses less digits than its factorization.

1334000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1334000313 is about 36523.9690203570. The cubic root of 1334000313 is about 1100.8259122326.

Adding to 1334000313 its reverse (3130004331), we get a palindrome (4464004644).

The spelling of 1334000313 in words is "one billion, three hundred thirty-four million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 27 41 123 163 369 489 1107 1467 4401 6683 7393 20049 22179 60147 66537 180441 199611 303113 909339 1205059 2728017 3615177 8184051 10845531 32536593 49407419 148222257 444666771 1334000313