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33704442 = 23219139709
BaseRepresentation
bin1000000010010…
…0100111111010
32100102100210200
42000210213322
532112020232
63202223030
7556324452
oct200444772
970370720
1033704442
1118030712
12b354a76
136ca1175
144694d62
152e5b77c
hex20249fa

33704442 has 48 divisors (see below), whose sum is σ = 77532000. Its totient is φ = 10552032.

The previous prime is 33704413. The next prime is 33704459. The reversal of 33704442 is 24440733.

It is a super-2 number, since 2×337044422 = 2271978821062728, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47184 + ... + 47892.

It is an arithmetic number, because the mean of its divisors is an integer number (1615250).

Almost surely, 233704442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33704442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38766000).

33704442 is an abundant number, since it is smaller than the sum of its proper divisors (43827558).

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

33704442 is a wasteful number, since it uses less digits than its factorization.

33704442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 33704442 is about 5805.5526868680. The cubic root of 33704442 is about 323.0197280490.

The spelling of 33704442 in words is "thirty-three million, seven hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 139 171 278 342 417 709 834 1251 1418 2127 2502 2641 4254 5282 6381 7923 12762 13471 15846 23769 26942 40413 47538 80826 98551 121239 197102 242478 295653 591306 886959 1773918 1872469 3744938 5617407 11234814 16852221 33704442