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330480 = 2435517
BaseRepresentation
bin1010000101011110000
3121210100000
41100223300
541033410
611030000
72544333
oct1205360
9553300
10330480
11206327
1213b300
13b7567
148861a
1567dc0
hex50af0

330480 has 120 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 82944.

The previous prime is 330469. The next prime is 330509. The reversal of 330480 is 84033.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 9.

It is a zygodrome in base 4 and base 9.

It is a congruent number.

It is an unprimeable number.

330480 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 23 ways as a sum of consecutive naturals, for example, 19432 + ... + 19448.

2330480 is an apocalyptic number.

330480 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 330480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).

330480 is an abundant number, since it is smaller than the sum of its proper divisors (888192).

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

330480 is a wasteful number, since it uses less digits than its factorization.

330480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 27 counting only the distinct ones).

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

The square root of 330480 is about 574.8738992162. The cubic root of 330480 is about 69.1377211507.

The spelling of 330480 in words is "three hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 81 85 90 102 108 120 135 136 144 153 162 170 180 204 216 240 243 255 270 272 306 324 340 360 405 408 432 459 486 510 540 612 648 680 720 765 810 816 918 972 1020 1080 1215 1224 1296 1360 1377 1530 1620 1836 1944 2040 2160 2295 2430 2448 2754 3060 3240 3672 3888 4080 4131 4590 4860 5508 6120 6480 6885 7344 8262 9180 9720 11016 12240 13770 16524 18360 19440 20655 22032 27540 33048 36720 41310 55080 66096 82620 110160 165240 330480