Search a number
-
+
330980 = 225131967
BaseRepresentation
bin1010000110011100100
3121211000112
41100303210
541042410
611032152
72545646
oct1206344
9554015
10330980
11206741
1213b658
13b7860
1488896
1568105
hex50ce4

330980 has 48 divisors (see below), whose sum is σ = 799680. Its totient is φ = 114048.

The previous prime is 330943. The next prime is 330983. The reversal of 330980 is 89033.

330980 = T64 + T65 + ... + T130.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330980.

It is not an unprimeable number, because it can be changed into a prime (330983) by changing a digit.

330980 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 15 ways as a sum of consecutive naturals, for example, 4907 + ... + 4973.

It is an arithmetic number, because the mean of its divisors is an integer number (16660).

2330980 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 330980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399840).

330980 is an abundant number, since it is smaller than the sum of its proper divisors (468700).

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

330980 is a wasteful number, since it uses less digits than its factorization.

330980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 330980 is about 575.3086128331. The cubic root of 330980 is about 69.1725709061.

The spelling of 330980 in words is "three hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 67 76 95 130 134 190 247 260 268 335 380 494 670 871 988 1235 1273 1340 1742 2470 2546 3484 4355 4940 5092 6365 8710 12730 16549 17420 25460 33098 66196 82745 165490 330980