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661024314 = 23437110281
BaseRepresentation
bin100111011001100…
…110111000111010
31201001211111220000
4213121212320322
52323210234224
6145332013430
722244420406
oct4731467072
91631744800
10661024314
1130a149395
12165461276
13a6c43b62
1463b10106
153d0740c9
hex27666e3a

661024314 has 40 divisors (see below), whose sum is σ = 1521229908. Its totient is φ = 214384320.

The previous prime is 661024283. The next prime is 661024327. The reversal of 661024314 is 413420166.

661024314 is a `hidden beast` number, since 6 + 610 + 2 + 43 + 1 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 651934089 + 9090225 = 25533^2 + 3015^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 49147 + ... + 61134.

Almost surely, 2661024314 is an apocalyptic number.

661024314 is an abundant number, since it is smaller than the sum of its proper divisors (860205594).

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

661024314 is a wasteful number, since it uses less digits than its factorization.

661024314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110332 (or 110323 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 661024314 is about 25710.3931125139. The cubic root of 661024314 is about 871.1089544680.

The spelling of 661024314 in words is "six hundred sixty-one million, twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 5994 110281 220562 330843 661686 992529 1985058 2977587 4080397 5955174 8160794 8932761 12241191 17865522 24482382 36723573 73447146 110170719 220341438 330512157 661024314