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331032 = 233131061
BaseRepresentation
bin1010000110100011000
3121211002110
41100310120
541043112
611032320
72546052
oct1206430
9554073
10331032
11206789
1213b6a0
13b78a0
14888d2
156813c
hex50d18

331032 has 32 divisors (see below), whose sum is σ = 892080. Its totient is φ = 101760.

The previous prime is 331031. The next prime is 331043. The reversal of 331032 is 230133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 330999 and 331017.

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 331032.

It is not an unprimeable number, because it can be changed into a prime (331031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 219 + ... + 842.

2331032 is an apocalyptic number.

It is an amenable number.

331032 is an abundant number, since it is smaller than the sum of its proper divisors (561048).

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

331032 is a wasteful number, since it uses less digits than its factorization.

331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 331032 is about 575.3538041936. The cubic root of 331032 is about 69.1761932653.

Adding to 331032 its reverse (230133), we get a palindrome (561165).

It can be divided in two parts, 3 and 31032, that multiplied together give a triangular number (93096 = T431).

The spelling of 331032 in words is "three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1061 2122 3183 4244 6366 8488 12732 13793 25464 27586 41379 55172 82758 110344 165516 331032