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34387644 = 22319473209
BaseRepresentation
bin1000001100101…
…1011010111100
32101201001222110
42003023122330
532300401034
63225014020
7565201344
oct203133274
971631873
1034387644
1118457a45
12b624310
137180125
1447d1d24
153043de9
hex20cb6bc

34387644 has 48 divisors (see below), whose sum is σ = 86284800. Its totient is φ = 10624896.

The previous prime is 34387637. The next prime is 34387657. The reversal of 34387644 is 44678343.

34387644 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 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, 9112 + ... + 12320.

It is an arithmetic number, because the mean of its divisors is an integer number (1797600).

Almost surely, 234387644 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 34387644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43142400).

34387644 is an abundant number, since it is smaller than the sum of its proper divisors (51897156).

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

34387644 is a wasteful number, since it uses less digits than its factorization.

34387644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3280 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 34387644 is about 5864.0978845855. The cubic root of 34387644 is about 325.1877227126.

The spelling of 34387644 in words is "thirty-four million, three hundred eighty-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 893 1786 2679 3209 3572 5358 6418 9627 10716 12836 19254 38508 60971 121942 150823 182913 243884 301646 365826 452469 603292 731652 904938 1809876 2865637 5731274 8596911 11462548 17193822 34387644