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33480 = 2333531
BaseRepresentation
bin1000001011001000
31200221000
420023020
52032410
6415000
7166416
oct101310
950830
1033480
1123177
1217460
1312315
14c2b6
159dc0
hex82c8

33480 has 64 divisors (see below), whose sum is σ = 115200. Its totient is φ = 8640.

The previous prime is 33479. The next prime is 33487. The reversal of 33480 is 8433.

It is a super-2 number, since 2×334802 = 2241820800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

233480 is an apocalyptic number.

33480 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 33480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

33480 is an abundant number, since it is smaller than the sum of its proper divisors (81720).

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

33480 is a wasteful number, since it uses less digits than its factorization.

33480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 41 counting only the distinct ones).

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

The square root of 33480 is about 182.9754081837. The cubic root of 33480 is about 32.2301121297.

It can be divided in two parts, 334 and 80, that added together give a palindrome (414).

The spelling of 33480 in words is "thirty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480