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354349107 = 33719101977
BaseRepresentation
bin10101000111101…
…111000000110011
3220200202210121000
4111013233000303
51211203132412
655054533043
711531626530
oct2507570063
9820683530
10354349107
11172025802
129a807183
1358549938
14350bdd87
15211974dc
hex151ef033

354349107 has 64 divisors (see below), whose sum is σ = 638438400. Its totient is φ = 189734400.

The previous prime is 354349091. The next prime is 354349141. The reversal of 354349107 is 701943453.

354349107 is a `hidden beast` number, since 3 + 543 + 4 + 9 + 107 = 666.

It is not a de Polignac number, because 354349107 - 24 = 354349091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (354349147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362203 + ... + 363179.

It is an arithmetic number, because the mean of its divisors is an integer number (9975600).

Almost surely, 2354349107 is an apocalyptic number.

354349107 is a deficient number, since it is larger than the sum of its proper divisors (284089293).

354349107 is a wasteful number, since it uses less digits than its factorization.

354349107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 354349107 is about 18824.1628499118. The cubic root of 354349107 is about 707.6368613190.

It can be divided in two parts, 3543 and 49107, that added together give a triangular number (52650 = T324).

The spelling of 354349107 in words is "three hundred fifty-four million, three hundred forty-nine thousand, one hundred seven".

Divisors: 1 3 7 9 19 21 27 57 63 101 133 171 189 303 399 513 707 909 977 1197 1919 2121 2727 2931 3591 5757 6363 6839 8793 13433 17271 18563 19089 20517 26379 40299 51813 55689 61551 98677 120897 129941 167067 184653 296031 362691 389823 501201 690739 888093 1169469 1874863 2072217 2664279 3508407 5624589 6216651 13124041 16873767 18649953 39372123 50621301 118116369 354349107