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34394096 = 2411732677
BaseRepresentation
bin1000001100110…
…0111111110000
32101201101211102
42003030333300
532301102341
63225103532
7565226222
oct203147760
971641742
1034394096
1118461880
12b627ba8
137183049
1447d4412
153045c9b
hex20ccff0

34394096 has 40 divisors (see below), whose sum is σ = 73719984. Its totient is φ = 15413760.

The previous prime is 34394089. The next prime is 34394099. The reversal of 34394096 is 69049343.

34394096 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 not an unprimeable number, because it can be changed into a prime (34394099) 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 7 ways as a sum of consecutive naturals, for example, 11510 + ... + 14186.

Almost surely, 234394096 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 34394096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36859992).

34394096 is an abundant number, since it is smaller than the sum of its proper divisors (39325888).

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

34394096 is a wasteful number, since it uses less digits than its factorization.

34394096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 34394096 is about 5864.6479860261. The cubic root of 34394096 is about 325.2080592806.

The spelling of 34394096 in words is "thirty-four million, three hundred ninety-four thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 292 584 803 1168 1606 2677 3212 5354 6424 10708 12848 21416 29447 42832 58894 117788 195421 235576 390842 471152 781684 1563368 2149631 3126736 4299262 8598524 17197048 34394096