Search a number
-
+
33408030 = 23541157173
BaseRepresentation
bin111111101110…
…0010000011110
32022212022012110
41333130100132
532023024110
63152014450
7553651335
oct177342036
968768173
1033408030
1117948a47
12b231426
136bc9286
144618d1c
152deda20
hex1fdc41e

33408030 has 64 divisors (see below), whose sum is σ = 83135808. Its totient is φ = 8586240.

The previous prime is 33408017. The next prime is 33408031. The reversal of 33408030 is 3080433.

It is a super-2 number, since 2×334080302 = 2232192936961800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33407988 and 33408006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33408031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193024 + ... + 193196.

It is an arithmetic number, because the mean of its divisors is an integer number (1298997).

Almost surely, 233408030 is an apocalyptic number.

33408030 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 33408030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41567904).

33408030 is an abundant number, since it is smaller than the sum of its proper divisors (49727778).

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

33408030 is a wasteful number, since it uses less digits than its factorization.

33408030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 33408030 is about 5779.9679929910. The cubic root of 33408030 is about 322.0700116530.

Adding to 33408030 its reverse (3080433), we get a palindrome (36488463).

The spelling of 33408030 in words is "thirty-three million, four hundred eight thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 157 173 205 246 314 346 410 471 519 615 785 865 942 1038 1230 1570 1730 2355 2595 4710 5190 6437 7093 12874 14186 19311 21279 27161 32185 35465 38622 42558 54322 64370 70930 81483 96555 106395 135805 162966 193110 212790 271610 407415 814830 1113601 2227202 3340803 5568005 6681606 11136010 16704015 33408030