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34478844 = 22319971559
BaseRepresentation
bin1000001110000…
…1101011111100
32101212201002020
42003201223330
532311310334
63231000140
7566031261
oct203415374
971781066
1034478844
111850a514
12b669050
1371b27aa
144817268
153060e49
hex20e1afc

34478844 has 48 divisors (see below), whose sum is σ = 85612800. Its totient is φ = 10768896.

The previous prime is 34478831. The next prime is 34478861. The reversal of 34478844 is 44887443.

34478844 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 = 34478796 and 34478805.

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, 21337 + ... + 22895.

It is an arithmetic number, because the mean of its divisors is an integer number (1783600).

Almost surely, 234478844 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 34478844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42806400).

34478844 is an abundant number, since it is smaller than the sum of its proper divisors (51133956).

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

34478844 is a wasteful number, since it uses less digits than its factorization.

34478844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1680 counting only the distinct ones).

The product of its digits is 344064, while the sum is 42.

The square root of 34478844 is about 5871.8688677456. The cubic root of 34478844 is about 325.4749473995.

The spelling of 34478844 in words is "thirty-four million, four hundred seventy-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 228 291 388 582 1164 1559 1843 3118 3686 4677 5529 6236 7372 9354 11058 18708 22116 29621 59242 88863 118484 151223 177726 302446 355452 453669 604892 907338 1814676 2873237 5746474 8619711 11492948 17239422 34478844