Search a number
-
+
34239444 = 22319263571
BaseRepresentation
bin1000001010011…
…1001111010100
32101102112200120
42002213033110
532231130234
63221511540
7564013311
oct202471724
971375616
1034239444
1118366668
12b5725b0
13712a835
144793d08
153015049
hex20a73d4

34239444 has 48 divisors (see below), whose sum is σ = 84564480. Its totient is φ = 10752480.

The previous prime is 34239437. The next prime is 34239449. The reversal of 34239444 is 44493243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34239449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59679 + ... + 60249.

It is an arithmetic number, because the mean of its divisors is an integer number (1761760).

Almost surely, 234239444 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 34239444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42282240).

34239444 is an abundant number, since it is smaller than the sum of its proper divisors (50325036).

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

34239444 is a wasteful number, since it uses less digits than its factorization.

34239444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 34239444 is about 5851.4480259163. The cubic root of 34239444 is about 324.7198975180.

The spelling of 34239444 in words is "thirty-four million, two hundred thirty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 263 526 571 789 1052 1142 1578 1713 2284 3156 3426 4997 6852 9994 10849 14991 19988 21698 29982 32547 43396 59964 65094 130188 150173 300346 450519 600692 901038 1802076 2853287 5706574 8559861 11413148 17119722 34239444