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409331 = 1323372
BaseRepresentation
bin1100011111011110011
3202210111102
41203323303
5101044311
612435015
73323246
oct1437363
9683442
10409331
1125a59a
12178a6b
13114410
14a925d
158143b
hex63ef3

409331 has 12 divisors (see below), whose sum is σ = 472752. Its totient is φ = 351648.

The previous prime is 409327. The next prime is 409333. The reversal of 409331 is 133904.

It is not a de Polignac number, because 409331 - 22 = 409327 is a prime.

It is a super-2 number, since 2×4093312 = 335103735122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409333) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11045 + ... + 11081.

It is an arithmetic number, because the mean of its divisors is an integer number (39396).

2409331 is an apocalyptic number.

409331 is a deficient number, since it is larger than the sum of its proper divisors (63421).

409331 is a wasteful number, since it uses less digits than its factorization.

409331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 409331 is about 639.7898092343. The cubic root of 409331 is about 74.2491601291.

The spelling of 409331 in words is "four hundred nine thousand, three hundred thirty-one".

Divisors: 1 13 23 37 299 481 851 1369 11063 17797 31487 409331