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334968 = 23317821
BaseRepresentation
bin1010001110001111000
3122000111020
41101301320
541204333
611102440
72563404
oct1216170
9560436
10334968
11209737
12141a20
13b960a
148a104
15693b3
hex51c78

334968 has 32 divisors (see below), whose sum is σ = 887760. Its totient is φ = 104960.

The previous prime is 334963. The next prime is 334973. The reversal of 334968 is 869433.

It is an interprime number because it is at equal distance from previous prime (334963) and next prime (334973).

It is a super-2 number, since 2×3349682 = 224407122048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 818.

2334968 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 334968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443880).

334968 is an abundant number, since it is smaller than the sum of its proper divisors (552792).

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

334968 is a wasteful number, since it uses less digits than its factorization.

334968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 334968 is about 578.7642006897. The cubic root of 334968 is about 69.4492841190.

The spelling of 334968 in words is "three hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 821 1642 2463 3284 4926 6568 9852 13957 19704 27914 41871 55828 83742 111656 167484 334968