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1353330864 = 243210787833
BaseRepresentation
bin101000010101010…
…0011000010110000
310111022112022221100
41100222203002300
510232423041424
6342142324400
745352060014
oct12052430260
93438468840
101353330864
11634a13566
12319289700
131874bb4c2
14cba44544
157dc26dc9
hex50aa30b0

1353330864 has 60 divisors (see below), whose sum is σ = 3822887016. Its totient is φ = 446889216.

The previous prime is 1353330859. The next prime is 1353330887. The reversal of 1353330864 is 4680333531.

1353330864 is a `hidden beast` number, since 13 + 533 + 30 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28509 + ... + 59324.

Almost surely, 21353330864 is an apocalyptic number.

It is an amenable number.

1353330864 is an abundant number, since it is smaller than the sum of its proper divisors (2469556152).

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

1353330864 is a wasteful number, since it uses less digits than its factorization.

1353330864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87954 (or 87945 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 1353330864 is about 36787.6455348803. The cubic root of 1353330864 is about 1106.1176665989.

The spelling of 1353330864 in words is "one billion, three hundred fifty-three million, three hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 87833 175666 263499 351332 526998 702664 790497 1053996 1405328 1580994 2107992 3161988 4215984 6323976 9398131 12647952 18796262 28194393 37592524 56388786 75185048 84583179 112777572 150370096 169166358 225555144 338332716 451110288 676665432 1353330864