Search a number
-
+
34404668 = 22171931859
BaseRepresentation
bin1000001100111…
…1100100111100
32101201221022222
42003033210330
532301422133
63225224512
7565302104
oct203174474
971657288
1034404668
1118469811
12b632138
137187abc
1447d8204
153048e98
hex20cf93c

34404668 has 48 divisors (see below), whose sum is σ = 69350400. Its totient is φ = 14826240.

The previous prime is 34404653. The next prime is 34404677. The reversal of 34404668 is 86640443.

It is a happy number.

34404668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 39623 + ... + 40481.

It is an arithmetic number, because the mean of its divisors is an integer number (1444800).

Almost surely, 234404668 is an apocalyptic number.

34404668 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34404668 is an abundant number, since it is smaller than the sum of its proper divisors (34945732).

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

34404668 is a wasteful number, since it uses less digits than its factorization.

34404668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 34404668 is about 5865.5492496441. The cubic root of 34404668 is about 325.2413765046.

The spelling of 34404668 in words is "thirty-four million, four hundred four thousand, six hundred sixty-eight".

Divisors: 1 2 4 17 19 31 34 38 62 68 76 124 323 527 589 646 859 1054 1178 1292 1718 2108 2356 3436 10013 14603 16321 20026 26629 29206 32642 40052 53258 58412 65284 106516 277457 452693 505951 554914 905386 1011902 1109828 1810772 2023804 8601167 17202334 34404668