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34387444 = 22713443
BaseRepresentation
bin1000001100101…
…1010111110100
32101201001201001
42003023113310
532300344234
63225013044
7565200640
oct203132764
971631631
1034387444
1118457883
12b624184
137180000
1447d1c20
153043d14
hex20cb5f4

34387444 has 60 divisors (see below), whose sum is σ = 76238624. Its totient is φ = 13287456.

The previous prime is 34387439. The next prime is 34387459. The reversal of 34387444 is 44478343.

34387444 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 19 ways as a sum of consecutive naturals, for example, 799687 + ... + 799729.

Almost surely, 234387444 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 34387444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38119312).

34387444 is an abundant number, since it is smaller than the sum of its proper divisors (41851180).

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

34387444 is an equidigital number, since it uses as much as digits as its factorization.

34387444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its digits is 129024, while the sum is 37.

The square root of 34387444 is about 5864.0808316393. The cubic root of 34387444 is about 325.1870922762.

The spelling of 34387444 in words is "thirty-four million, three hundred eighty-seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 43 52 86 91 169 172 182 301 338 364 559 602 676 1118 1183 1204 2197 2236 2366 3913 4394 4732 7267 7826 8788 14534 15379 15652 28561 29068 30758 50869 57122 61516 94471 101738 114244 188942 199927 203476 377884 399854 661297 799708 1228123 1322594 2456246 2645188 4912492 8596861 17193722 34387444