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354306645 = 325711102253
BaseRepresentation
bin10101000111100…
…100101001010101
3220200200122100100
4111013210221111
51211200303040
655054004313
711531361660
oct2507445125
9820618310
10354306645
11171aa6910
129a7a6699
1358533504
14350ac6d7
1521189b30
hex151e4a55

354306645 has 48 divisors (see below), whose sum is σ = 765677952. Its totient is φ = 147242880.

The previous prime is 354306629. The next prime is 354306649. The reversal of 354306645 is 546603453.

354306645 is a `hidden beast` number, since 3 + 5 + 4 + 3 + 0 + 6 + 645 = 666.

It is not a de Polignac number, because 354306645 - 24 = 354306629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354306649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47662 + ... + 54591.

It is an arithmetic number, because the mean of its divisors is an integer number (15951624).

Almost surely, 2354306645 is an apocalyptic number.

354306645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

354306645 is an abundant number, since it is smaller than the sum of its proper divisors (411371307).

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

354306645 is a wasteful number, since it uses less digits than its factorization.

354306645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102282 (or 102279 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 354306645 is about 18823.0349572007. The cubic root of 354306645 is about 707.6085945842.

The spelling of 354306645 in words is "three hundred fifty-four million, three hundred six thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 102253 306759 511265 715771 920277 1124783 1533795 2147313 3374349 3578855 4601385 5623915 6441939 7873481 10123047 10736565 16871745 23620443 32209695 39367405 50615235 70861329 118102215 354306645