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354112848 = 24324575381
BaseRepresentation
bin10101000110110…
…101010101010000
3220200022210111200
4111012311111100
51211123102343
655045511200
711526623655
oct2506652520
9820283450
10354112848
11171984251
129a712500
135849623b
143505bc2c
152114c4d3
hex151b5550

354112848 has 60 divisors (see below), whose sum is σ = 993377268. Its totient is φ = 117757440.

The previous prime is 354112841. The next prime is 354112849. The reversal of 354112848 is 848211453.

It can be written as a sum of positive squares in 2 ways, for example, as 217503504 + 136609344 = 14748^2 + 11688^2 .

It is a super-2 number, since 2×3541128482 = 250791818237342208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354112841) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 63118 + ... + 68498.

Almost surely, 2354112848 is an apocalyptic number.

It is an amenable number.

354112848 is an abundant number, since it is smaller than the sum of its proper divisors (639264420).

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

354112848 is a wasteful number, since it uses less digits than its factorization.

354112848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5843 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 354112848 is about 18817.8863850327. The cubic root of 354112848 is about 707.4795562356.

The spelling of 354112848 in words is "three hundred fifty-four million, one hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 457 914 1371 1828 2742 3656 4113 5381 5484 7312 8226 10762 10968 16143 16452 21524 21936 32286 32904 43048 48429 64572 65808 86096 96858 129144 193716 258288 387432 774864 2459117 4918234 7377351 9836468 14754702 19672936 22132053 29509404 39345872 44264106 59018808 88528212 118037616 177056424 354112848