Search a number
-
+
34037217 = 3223164431
BaseRepresentation
bin1000000111010…
…1110111100001
32101001021021200
42001311313201
532203142332
63213311413
7562211604
oct201656741
971037250
1034037217
1118238735
12b495569
137089786
14474033b
152ec517c
hex2075de1

34037217 has 12 divisors (see below), whose sum is σ = 51302784. Its totient is φ = 21704760.

The previous prime is 34037191. The next prime is 34037219. The reversal of 34037217 is 71273043.

34037217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34037217 - 215 = 34004449 is a prime.

It is a super-2 number, since 2×340372172 = 2317064282210178, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34037219) 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 11 ways as a sum of consecutive naturals, for example, 82009 + ... + 82422.

It is an arithmetic number, because the mean of its divisors is an integer number (4275232).

Almost surely, 234037217 is an apocalyptic number.

It is an amenable number.

34037217 is a deficient number, since it is larger than the sum of its proper divisors (17265567).

34037217 is a wasteful number, since it uses less digits than its factorization.

34037217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164460 (or 164457 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 34037217 is about 5834.1423534227. The cubic root of 34037217 is about 324.0793415659.

The spelling of 34037217 in words is "thirty-four million, thirty-seven thousand, two hundred seventeen".

Divisors: 1 3 9 23 69 207 164431 493293 1479879 3781913 11345739 34037217