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331677 = 32137269
BaseRepresentation
bin1010000111110011101
3121211222100
41100332131
541103202
611035313
72550663
oct1207635
9554870
10331677
11207215
1213bb39
13b7c78
1488c33
156841c
hex50f9d

331677 has 12 divisors (see below), whose sum is σ = 484380. Its totient is φ = 218688.

The previous prime is 331663. The next prime is 331691. The reversal of 331677 is 776133.

It is an interprime number because it is at equal distance from previous prime (331663) and next prime (331691).

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 236196 = 309^2 + 486^2 .

It is not a de Polignac number, because 331677 - 26 = 331613 is a prime.

It is a super-2 number, since 2×3316772 = 220019264658, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331677.

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 331677.

It is not an unprimeable number, because it can be changed into a prime (331697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1099 + ... + 1367.

It is an arithmetic number, because the mean of its divisors is an integer number (40365).

2331677 is an apocalyptic number.

It is an amenable number.

331677 is a deficient number, since it is larger than the sum of its proper divisors (152703).

331677 is a wasteful number, since it uses less digits than its factorization.

331677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its digits is 2646, while the sum is 27.

The square root of 331677 is about 575.9140560882. The cubic root of 331677 is about 69.2210929496.

The spelling of 331677 in words is "three hundred thirty-one thousand, six hundred seventy-seven".

Divisors: 1 3 9 137 269 411 807 1233 2421 36853 110559 331677