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334964 = 22721709
BaseRepresentation
bin1010001110001110100
3122000111002
41101301310
541204324
611102432
72563400
oct1216164
9560432
10334964
11209733
12141a18
13b9606
148a100
15693ae
hex51c74

334964 has 18 divisors (see below), whose sum is σ = 682290. Its totient is φ = 143472.

The previous prime is 334963. The next prime is 334973. The reversal of 334964 is 469433.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 240100 + 94864 = 490^2 + 308^2 .

It is a super-2 number, since 2×3349642 = 224401762592, 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 5 ways as a sum of consecutive naturals, for example, 659 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (37905).

2334964 is an apocalyptic number.

It is an amenable number.

334964 is an abundant number, since it is smaller than the sum of its proper divisors (347326).

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

334964 is a wasteful number, since it uses less digits than its factorization.

334964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1718 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

The square root of 334964 is about 578.7607450406. The cubic root of 334964 is about 69.4490076764.

The spelling of 334964 in words is "three hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 1709 3418 6836 11963 23926 47852 83741 167482 334964