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331240 = 23572132
BaseRepresentation
bin1010000110111101000
3121211101011
41100313220
541044430
611033304
72546500
oct1206750
9554334
10331240
11206958
1213b834
13b7a00
1488a00
156822a
hex50de8

331240 has 72 divisors (see below), whose sum is σ = 938790. Its totient is φ = 104832.

The previous prime is 331231. The next prime is 331241. The reversal of 331240 is 42133.

It can be written as a sum of positive squares in 3 ways, for example, as 142884 + 188356 = 378^2 + 434^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 331240.

It is not an unprimeable number, because it can be changed into a prime (331241) by changing a digit.

331240 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 17 ways as a sum of consecutive naturals, for example, 25474 + ... + 25486.

2331240 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 331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469395).

331240 is an abundant number, since it is smaller than the sum of its proper divisors (607550).

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

331240 is a wasteful number, since it uses less digits than its factorization.

331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 331240 is about 575.5345341506. The cubic root of 331240 is about 69.1906789098.

Adding to 331240 its reverse (42133), we get a palindrome (373373).

The spelling of 331240 in words is "three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 169 182 196 245 260 280 338 364 392 455 490 520 637 676 728 845 910 980 1183 1274 1352 1690 1820 1960 2366 2548 3185 3380 3640 4732 5096 5915 6370 6760 8281 9464 11830 12740 16562 23660 25480 33124 41405 47320 66248 82810 165620 331240