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354161808 = 24357211132
BaseRepresentation
bin10101000111000…
…001010010010000
3220200102021200000
4111013001102100
51211131134213
655050530000
711530216500
oct2507012220
9820367600
10354161808
11171a08010
129a736900
13584b2600
1435071a00
152115bc73
hex151c1490

354161808 has 540 divisors, whose sum is σ = 1412440848. Its totient is φ = 84913920.

The previous prime is 354161789. The next prime is 354161809. The reversal of 354161808 is 808161453.

354161808 is a `hidden beast` number, since 35 + 4 + 1 + 618 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (354161809) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27243210 + ... + 27243222.

Almost surely, 2354161808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354161808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706220424).

354161808 is an abundant number, since it is smaller than the sum of its proper divisors (1058279040).

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

354161808 is a wasteful number, since it uses less digits than its factorization.

354161808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 354161808 is about 18819.1872300586. The cubic root of 354161808 is about 707.5121603457.

The spelling of 354161808 in words is "three hundred fifty-four million, one hundred sixty-one thousand, eight hundred eight".