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331608 = 23341337
BaseRepresentation
bin1010000111101011000
3121211212210
41100331120
541102413
611035120
72550534
oct1207530
9554783
10331608
11207162
1213baa0
13b7c24
1488bc4
15683c3
hex50f58

331608 has 32 divisors (see below), whose sum is σ = 851760. Its totient is φ = 107520.

The previous prime is 331603. The next prime is 331609. The reversal of 331608 is 806133.

It is an Ulam 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 331608.

It is not an unprimeable number, because it can be changed into a prime (331603) by changing a digit.

331608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816 + ... + 1152.

2331608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425880).

331608 is an abundant number, since it is smaller than the sum of its proper divisors (520152).

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

331608 is a wasteful number, since it uses less digits than its factorization.

331608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 331608 is about 575.8541482007. The cubic root of 331608 is about 69.2162925096.

It can be divided in two parts, 331 and 608, that added together give a palindrome (939).

The spelling of 331608 in words is "three hundred thirty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 337 492 674 984 1011 1348 2022 2696 4044 8088 13817 27634 41451 55268 82902 110536 165804 331608