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354434020 = 225176715559
BaseRepresentation
bin10101001000000…
…011101111100100
3220200221010001221
4111020003233210
51211213342040
655100430124
711532432223
oct2510035744
9820833057
10354434020
11172083586
129a848344
1358579495
1435102cba
15211b274a
hex15203be4

354434020 has 48 divisors (see below), whose sum is σ = 799908480. Its totient is φ = 131433984.

The previous prime is 354434009. The next prime is 354434039. The reversal of 354434020 is 20434453.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15001 + ... + 30559.

It is an arithmetic number, because the mean of its divisors is an integer number (16664760).

Almost surely, 2354434020 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 354434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399954240).

354434020 is an abundant number, since it is smaller than the sum of its proper divisors (445474460).

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

354434020 is a wasteful number, since it uses less digits than its factorization.

354434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15652 (or 15650 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 354434020 is about 18826.4181404748. The cubic root of 354434020 is about 707.6933806937.

Adding to 354434020 its reverse (20434453), we get a palindrome (374868473).

The spelling of 354434020 in words is "three hundred fifty-four million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2278 4556 5695 11390 15559 22780 31118 62236 77795 155590 264503 311180 529006 1042453 1058012 1322515 2084906 2645030 4169812 5212265 5290060 10424530 17721701 20849060 35443402 70886804 88608505 177217010 354434020