Search a number
-
+
33790398 = 2319378011
BaseRepresentation
bin1000000011100…
…1100110111110
32100120201201020
42000321212332
532122243043
63204125010
7560133165
oct200714676
970521636
1033790398
111808a254
12b396766
137001325
1446b83dc
152e76e83
hex20399be

33790398 has 32 divisors (see below), whose sum is σ = 73069440. Its totient is φ = 10380960.

The previous prime is 33790397. The next prime is 33790411. The reversal of 33790398 is 89309733.

It is a happy number.

33790398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×337903982 = 2283581993996808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33790397) 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, 213 + ... + 8223.

It is an arithmetic number, because the mean of its divisors is an integer number (2283420).

Almost surely, 233790398 is an apocalyptic number.

33790398 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

33790398 is an abundant number, since it is smaller than the sum of its proper divisors (39279042).

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

33790398 is a wasteful number, since it uses less digits than its factorization.

33790398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8072.

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 33790398 is about 5812.9508857378. The cubic root of 33790398 is about 323.2940926150.

The spelling of 33790398 in words is "thirty-three million, seven hundred ninety thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 19 37 38 57 74 111 114 222 703 1406 2109 4218 8011 16022 24033 48066 152209 296407 304418 456627 592814 889221 913254 1778442 5631733 11263466 16895199 33790398