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354397056 = 27313243127
BaseRepresentation
bin10101000111111…
…010101110000000
3220200212020100220
4111013322232000
51211211201211
655055543040
711532216366
oct2507725600
9820766326
10354397056
11172058832
129a82aa80
1358565700
14350d3636
15211a6806
hex151fab80

354397056 has 192 divisors, whose sum is σ = 1051269120. Its totient is φ = 105670656.

The previous prime is 354397049. The next prime is 354397111. The reversal of 354397056 is 650793453.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 354396999 and 354397017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2790465 + ... + 2790591.

It is an arithmetic number, because the mean of its divisors is an integer number (5475360).

Almost surely, 2354397056 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 354397056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525634560).

354397056 is an abundant number, since it is smaller than the sum of its proper divisors (696872064).

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

354397056 is a wasteful number, since it uses less digits than its factorization.

354397056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 354397056 is about 18825.4364092841. The cubic root of 354397056 is about 707.6687780069.

The spelling of 354397056 in words is "three hundred fifty-four million, three hundred ninety-seven thousand, fifty-six".