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33441940 = 2257534507
BaseRepresentation
bin111111110010…
…0100010010100
32022221000201101
41333210202110
532030120230
63152435444
7554152240
oct177444224
968830641
1033441940
1117971474
12b248b84
136c0b83c
144627420
152e08aca
hex1fe4894

33441940 has 48 divisors (see below), whose sum is σ = 81793152. Its totient is φ = 11246976.

The previous prime is 33441929. The next prime is 33441949. The reversal of 33441940 is 4914433.

It is a super-2 number, since 2×334419402 = 2236726701927200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 33441899 and 33441908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33441949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5167 + ... + 9673.

It is an arithmetic number, because the mean of its divisors is an integer number (1704024).

Almost surely, 233441940 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 33441940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40896576).

33441940 is an abundant number, since it is smaller than the sum of its proper divisors (48351212).

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

33441940 is a wasteful number, since it uses less digits than its factorization.

33441940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 33441940 is about 5782.9006562451. The cubic root of 33441940 is about 322.1789445554.

The spelling of 33441940 in words is "thirty-three million, four hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 4507 7420 9014 18028 22535 31549 45070 63098 90140 126196 157745 238871 315490 477742 630980 955484 1194355 1672097 2388710 3344194 4777420 6688388 8360485 16720970 33441940