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354337040 = 2454429213
BaseRepresentation
bin10101000111101…
…100000100010000
3220200202012001002
4111013230010100
51211202241130
655054401132
711531546411
oct2507540420
9820665032
10354337040
11172017732
129a8001a8
13585442b5
14350b9808
1521193b45
hex151ec110

354337040 has 20 divisors (see below), whose sum is σ = 823833804. Its totient is φ = 141734784.

The previous prime is 354337033. The next prime is 354337063. The reversal of 354337040 is 40733453.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89038096 + 265298944 = 9436^2 + 16288^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 354336994 and 354337012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2214527 + ... + 2214686.

Almost surely, 2354337040 is an apocalyptic number.

It is an amenable number.

354337040 is an abundant number, since it is smaller than the sum of its proper divisors (469496764).

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

354337040 is a wasteful number, since it uses less digits than its factorization.

354337040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429226 (or 4429220 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 29.

The square root of 354337040 is about 18823.8423282814. The cubic root of 354337040 is about 707.6288286089.

The spelling of 354337040 in words is "three hundred fifty-four million, three hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4429213 8858426 17716852 22146065 35433704 44292130 70867408 88584260 177168520 354337040