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354202680 = 233513227053
BaseRepresentation
bin10101000111001…
…011010000111000
3220200111100201210
4111013023100320
51211133441210
655051443120
711530446606
oct2507132070
9820440653
10354202680
11171a35797
129a7564a0
13584c80b0
1435082876
1521168e20
hex151cb438

354202680 has 64 divisors (see below), whose sum is σ = 1144352160. Its totient is φ = 87187968.

The previous prime is 354202631. The next prime is 354202697. The reversal of 354202680 is 86202453.

It is a super-3 number, since 3×3542026803 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111967 + ... + 115086.

Almost surely, 2354202680 is an apocalyptic number.

354202680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354202680 is an abundant number, since it is smaller than the sum of its proper divisors (790149480).

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

354202680 is a wasteful number, since it uses less digits than its factorization.

354202680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227080 (or 227076 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 354202680 is about 18820.2731117272. The cubic root of 354202680 is about 707.5393760835.

The spelling of 354202680 in words is "three hundred fifty-four million, two hundred two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 227053 454106 681159 908212 1135265 1362318 1816424 2270530 2724636 2951689 3405795 4541060 5449272 5903378 6811590 8855067 9082120 11806756 13623180 14758445 17710134 23613512 27246360 29516890 35420268 44275335 59033780 70840536 88550670 118067560 177101340 354202680