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33880 = 2357112
BaseRepresentation
bin1000010001011000
31201110211
420101120
52041010
6420504
7200530
oct102130
951424
1033880
1123500
1217734
1312562
14c4c0
15a08a
hex8458

33880 has 48 divisors (see below), whose sum is σ = 95760. Its totient is φ = 10560.

The previous prime is 33871. The next prime is 33889. The reversal of 33880 is 8833.

It is an interprime number because it is at equal distance from previous prime (33871) and next prime (33889).

It is a super-2 number, since 2×338802 = 2295708800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33889) 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 11 ways as a sum of consecutive naturals, for example, 3075 + ... + 3085.

It is an arithmetic number, because the mean of its divisors is an integer number (1995).

233880 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 33880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880).

33880 is an abundant number, since it is smaller than the sum of its proper divisors (61880).

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

33880 is a wasteful number, since it uses less digits than its factorization.

33880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 33880 is about 184.0652058375. The cubic root of 33880 is about 32.3579600057.

33880 divided by its sum of digits (22) gives a triangular number (1540 = T55).

It can be divided in two parts, 3 and 3880, that added together give a palindrome (3883).

The spelling of 33880 in words is "thirty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1694 2420 3080 3388 4235 4840 6776 8470 16940 33880