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34412028 = 2237894603
BaseRepresentation
bin1000001101000…
…1010111111100
32101202022102120
42003101113330
532302141103
63225322540
7565332420
oct203212774
971668376
1034412028
11184742a2
12b636450
13718b261
1447dab80
15304b253
hex20d15fc

34412028 has 48 divisors (see below), whose sum is σ = 92816640. Its totient is φ = 9719424.

The previous prime is 34412023. The next prime is 34412039. The reversal of 34412028 is 82021443.

34412028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34411989 and 34412007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412023) 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, 5175 + ... + 9777.

It is an arithmetic number, because the mean of its divisors is an integer number (1933680).

Almost surely, 234412028 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 34412028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46408320).

34412028 is an abundant number, since it is smaller than the sum of its proper divisors (58404612).

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

34412028 is a wasteful number, since it uses less digits than its factorization.

34412028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 34412028 is about 5866.1766083199. The cubic root of 34412028 is about 325.2645672128.

The spelling of 34412028 in words is "thirty-four million, four hundred twelve thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 4603 7476 9206 13809 18412 27618 32221 55236 64442 96663 128884 193326 386652 409667 819334 1229001 1638668 2458002 2867669 4916004 5735338 8603007 11470676 17206014 34412028