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33800396 = 2272331521
BaseRepresentation
bin1000000011110…
…0000011001100
32100121020102112
42000330003030
532123103041
63204243152
7560204300
oct200740314
970536375
1033800396
1118096813
12b3a04b8
137005a46
1446bbd00
152e79deb
hex203c0cc

33800396 has 36 divisors (see below), whose sum is σ = 69148296. Its totient is φ = 14414400.

The previous prime is 33800381. The next prime is 33800419. The reversal of 33800396 is 69300833.

It is a happy number.

It is a super-2 number, since 2×338003962 = 2284933539513632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64616 + ... + 65136.

It is an arithmetic number, because the mean of its divisors is an integer number (1920786).

Almost surely, 233800396 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 33800396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34574148).

33800396 is an abundant number, since it is smaller than the sum of its proper divisors (35347900).

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

33800396 is a wasteful number, since it uses less digits than its factorization.

33800396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 33800396 is about 5813.8107984351. The cubic root of 33800396 is about 323.3259751989.

The spelling of 33800396 in words is "thirty-three million, eight hundred thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 331 521 662 1042 1324 2084 2317 3647 4634 7294 9268 14588 16219 25529 32438 51058 64876 102116 172451 344902 689804 1207157 2414314 4828628 8450099 16900198 33800396