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331713369 = 321324672
BaseRepresentation
bin10011110001011…
…000101101011001
3212010011210012100
4103301120231121
51134404311434
652525434013
711135342241
oct2361305531
9763153170
10331713369
11160275189
129310b909
1353952900
14320aab21
151e1c5699
hex13c58b59

331713369 has 27 divisors (see below), whose sum is σ = 519947103. Its totient is φ = 203694192.

The previous prime is 331713359. The next prime is 331713373. The reversal of 331713369 is 963317133.

The square root of 331713369 is 18213.

It is a perfect power (a square), and thus also a powerful number.

331713369 is a `hidden beast` number, since 3 + 317 + 1 + 336 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49070025 + 282643344 = 7005^2 + 16812^2 .

It is a de Polignac number, because none of the positive numbers 2k-331713369 is a prime.

It is a super-2 number, since 2×3317133692 = 220067518346660322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331713359) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 710074 + ... + 710540.

Almost surely, 2331713369 is an apocalyptic number.

331713369 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

331713369 is the 18213-rd square number.

331713369 is the 9107-th centered octagonal number.

It is an amenable number.

331713369 is a deficient number, since it is larger than the sum of its proper divisors (188233734).

331713369 is an equidigital number, since it uses as much as digits as its factorization.

331713369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 483 counting only the distinct ones).

The product of its digits is 30618, while the sum is 36.

The cubic root of 331713369 is about 692.2362293101.

Multiplying 331713369 by its sum of digits (36), we get a square (11941681284 = 1092782).

The spelling of 331713369 in words is "three hundred thirty-one million, seven hundred thirteen thousand, three hundred sixty-nine".

Divisors: 1 3 9 13 39 117 169 467 507 1401 1521 4203 6071 18213 54639 78923 218089 236769 654267 710307 1962801 2835157 8505471 25516413 36857041 110571123 331713369