Search a number
-
+
34419906 = 2321925297
BaseRepresentation
bin1000001101001…
…1010011000010
32101202201020100
42003103103002
532302414111
63225423230
7565364403
oct203232302
971681210
1034419906
111847a204
12b63ab16
137191a11
1447dd9aa
15304d756
hex20d34c2

34419906 has 36 divisors (see below), whose sum is σ = 78722982. Its totient is φ = 10867392.

The previous prime is 34419893. The next prime is 34419923. The reversal of 34419906 is 60991443.

34419906 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 24591681 + 9828225 = 4959^2 + 3135^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3850 + ... + 9146.

Almost surely, 234419906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34419906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39361491).

34419906 is an abundant number, since it is smaller than the sum of its proper divisors (44303076).

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

34419906 is a wasteful number, since it uses less digits than its factorization.

34419906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34419906 is about 5866.8480464386. The cubic root of 34419906 is about 325.2893864296.

The spelling of 34419906 in words is "thirty-four million, four hundred nineteen thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 5297 6498 10594 15891 31782 47673 95346 100643 201286 301929 603858 905787 1811574 1912217 3824434 5736651 11473302 17209953 34419906