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34857944 = 23111273119
BaseRepresentation
bin1000010011111…
…0001111011000
32102120222002222
42010332033120
532410423234
63243043212
7602200442
oct204761730
972528088
1034857944
1118749320
12b810508
1372b6204
1448b5492
1530d842e
hex213e3d8

34857944 has 32 divisors (see below), whose sum is σ = 71884800. Its totient is φ = 15714720.

The previous prime is 34857937. The next prime is 34857983. The reversal of 34857944 is 44975843.

34857944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 34857895 and 34857904.

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 7 ways as a sum of consecutive naturals, for example, 9617 + ... + 12735.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 234857944 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 34857944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942400).

34857944 is an abundant number, since it is smaller than the sum of its proper divisors (37026856).

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

34857944 is a wasteful number, since it uses less digits than its factorization.

34857944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3259 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 34857944 is about 5904.0616527946. The cubic root of 34857944 is about 326.6634837026.

The spelling of 34857944 in words is "thirty-four million, eight hundred fifty-seven thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 127 254 508 1016 1397 2794 3119 5588 6238 11176 12476 24952 34309 68618 137236 274472 396113 792226 1584452 3168904 4357243 8714486 17428972 34857944