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354163968 = 283351239
BaseRepresentation
bin10101000111000…
…001110100000000
3220200102101122000
4111013001310000
51211131221333
655050544000
711530226004
oct2507016400
9820371560
10354163968
11171a096a4
129a738000
13584b35a2
1435072704
152115c713
hex151c1d00

354163968 has 72 divisors (see below), whose sum is σ = 1047345600. Its totient is φ = 118052352.

The previous prime is 354163951. The next prime is 354163991. The reversal of 354163968 is 869361453.

354163968 is a `hidden beast` number, since 3 + 5 + 4 + 1 + 639 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18708 + ... + 32531.

Almost surely, 2354163968 is an apocalyptic number.

It is an amenable number.

354163968 is an abundant number, since it is smaller than the sum of its proper divisors (693181632).

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

354163968 is an equidigital number, since it uses as much as digits as its factorization.

354163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51264 (or 51244 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 354163968 is about 18819.2446182093. The cubic root of 354163968 is about 707.5135986931.

The spelling of 354163968 in words is "three hundred fifty-four million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 51239 102478 153717 204956 307434 409912 461151 614868 819824 922302 1229736 1383453 1639648 1844604 2459472 2766906 3279296 3689208 4918944 5533812 6558592 7378416 9837888 11067624 13117184 14756832 19675776 22135248 29513664 39351552 44270496 59027328 88540992 118054656 177081984 354163968