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334397 = 7233167
BaseRepresentation
bin1010001101000111101
3121222201002
41101220331
541200042
611100045
72561630
oct1215075
9558632
10334397
11209268
12141625
13b928b
1489c17
1569132
hex51a3d

334397 has 16 divisors (see below), whose sum is σ = 417792. Its totient is φ = 261360.

The previous prime is 334393. The next prime is 334403. The reversal of 334397 is 793433.

It is a cyclic number.

It is not a de Polignac number, because 334397 - 22 = 334393 is a prime.

It is a super-2 number, since 2×3343972 = 223642707218, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 334397.

It is not an unprimeable number, because it can be changed into a prime (334393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4958 + ... + 5024.

It is an arithmetic number, because the mean of its divisors is an integer number (26112).

2334397 is an apocalyptic number.

It is an amenable number.

334397 is a deficient number, since it is larger than the sum of its proper divisors (83395).

334397 is a wasteful number, since it uses less digits than its factorization.

334397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its digits is 6804, while the sum is 29.

The square root of 334397 is about 578.2706978570. The cubic root of 334397 is about 69.4097996554.

The spelling of 334397 in words is "three hundred thirty-four thousand, three hundred ninety-seven".

Divisors: 1 7 23 31 67 161 217 469 713 1541 2077 4991 10787 14539 47771 334397