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331136 = 2713199
BaseRepresentation
bin1010000110110000000
3121211020022
41100312000
541044021
611033012
72546261
oct1206600
9554208
10331136
11206873
1213b768
13b7950
1488968
15681ab
hex50d80

331136 has 32 divisors (see below), whose sum is σ = 714000. Its totient is φ = 152064.

The previous prime is 331127. The next prime is 331141. The reversal of 331136 is 631133.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1565 + ... + 1763.

2331136 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 331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357000).

331136 is an abundant number, since it is smaller than the sum of its proper divisors (382864).

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

331136 is a wasteful number, since it uses less digits than its factorization.

331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its digits is 162, while the sum is 17.

The square root of 331136 is about 575.4441762673. Note that the first 3 decimals coincide. The cubic root of 331136 is about 69.1834368458.

Adding to 331136 its reverse (631133), we get a palindrome (962269).

The spelling of 331136 in words is "three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 199 208 398 416 796 832 1592 1664 2587 3184 5174 6368 10348 12736 20696 25472 41392 82784 165568 331136