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332280 = 233251371
BaseRepresentation
bin1010001000111111000
3121212210200
41101013320
541113110
611042200
72552514
oct1210770
9555720
10332280
11207713
12140360
13b8320
1489144
15686c0
hex511f8

332280 has 96 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 80640.

The previous prime is 332273. The next prime is 332287. The reversal of 332280 is 82233.

It is an interprime number because it is at equal distance from previous prime (332273) and next prime (332287).

It is a super-2 number, since 2×3322802 = 220819996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

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 332280.

It is not an unprimeable number, because it can be changed into a prime (332287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4645 + ... + 4715.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2332280 is an apocalyptic number.

332280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

332280 is an abundant number, since it is smaller than the sum of its proper divisors (847080).

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

332280 is a wasteful number, since it uses less digits than its factorization.

332280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 332280 is about 576.4373339748. The cubic root of 332280 is about 69.2630163163.

Subtracting from 332280 its reverse (82233), we obtain a cube (250047 = 633).

The spelling of 332280 in words is "three hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 71 72 78 90 104 117 120 130 142 156 180 195 213 234 260 284 312 355 360 390 426 468 520 568 585 639 710 780 852 923 936 1065 1170 1278 1420 1560 1704 1846 2130 2340 2556 2769 2840 3195 3692 4260 4615 4680 5112 5538 6390 7384 8307 8520 9230 11076 12780 13845 16614 18460 22152 25560 27690 33228 36920 41535 55380 66456 83070 110760 166140 332280