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334376 = 2372853
BaseRepresentation
bin1010001101000101000
3121222200022
41101220220
541200001
611100012
72561600
oct1215050
9558608
10334376
11209249
12141608
13b9273
1489c00
156911b
hex51a28

334376 has 24 divisors (see below), whose sum is σ = 730170. Its totient is φ = 143136.

The previous prime is 334363. The next prime is 334379. The reversal of 334376 is 673433.

It can be written as a sum of positive squares in only one way, i.e., 329476 + 4900 = 574^2 + 70^2 .

It is a super-2 number, since 2×3343762 = 223614618752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334379) by changing a digit.

334376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35 + ... + 818.

2334376 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 334376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365085).

334376 is an abundant number, since it is smaller than the sum of its proper divisors (395794).

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

334376 is a wasteful number, since it uses less digits than its factorization.

334376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its digits is 4536, while the sum is 26.

The square root of 334376 is about 578.2525399858. The cubic root of 334376 is about 69.4083466556.

The spelling of 334376 in words is "three hundred thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 853 1706 3412 5971 6824 11942 23884 41797 47768 83594 167188 334376