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34379744 = 257314951
BaseRepresentation
bin1000001100100…
…1011111100000
32101200200010212
42003021133200
532300122434
63224513252
7565136330
oct203113740
971620125
1034379744
1118452013
12b61b828
137179659
1447cd0c0
1530418ce
hex20c97e0

34379744 has 48 divisors (see below), whose sum is σ = 79865856. Its totient is φ = 14256000.

The previous prime is 34379743. The next prime is 34379749. The reversal of 34379744 is 44797343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34379743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4469 + ... + 9419.

It is an arithmetic number, because the mean of its divisors is an integer number (1663872).

Almost surely, 234379744 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 34379744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39932928).

34379744 is an abundant number, since it is smaller than the sum of its proper divisors (45486112).

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

34379744 is a wasteful number, since it uses less digits than its factorization.

34379744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4991 counting only the distinct ones).

The product of its digits is 254016, while the sum is 41.

The square root of 34379744 is about 5863.4242555012. The cubic root of 34379744 is about 325.1628186147.

The spelling of 34379744 in words is "thirty-four million, three hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 4951 6944 9902 19804 34657 39608 69314 79216 138628 153481 158432 277256 306962 554512 613924 1074367 1109024 1227848 2148734 2455696 4297468 4911392 8594936 17189872 34379744