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33390 = 2325753
BaseRepresentation
bin1000001001101110
31200210200
420021232
52032030
6414330
7166230
oct101156
950720
1033390
11230a5
12173a6
1312276
14c250
159d60
hex826e

33390 has 48 divisors (see below), whose sum is σ = 101088. Its totient is φ = 7488.

The previous prime is 33377. The next prime is 33391. The reversal of 33390 is 9333.

33390 = T25 + T26 + ... + T59.

It is a super-2 number, since 2×333902 = 2229784200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (2106).

233390 is an apocalyptic number.

33390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544).

33390 is an abundant number, since it is smaller than the sum of its proper divisors (67698).

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

33390 is a wasteful number, since it uses less digits than its factorization.

33390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 33390 is about 182.7293079941. The cubic root of 33390 is about 32.2012061840.

Adding to 33390 its product of nonzero digits (243), we get a palindrome (33633).

The spelling of 33390 in words is "thirty-three thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 954 1113 1590 1855 2226 2385 3339 3710 4770 5565 6678 11130 16695 33390