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34071444 = 22321197887
BaseRepresentation
bin1000000111111…
…0001110010100
32101010000020100
42001332032110
532210241234
63214134100
7562413441
oct201761624
971100210
1034071444
1118261420
12b4b1330
13709c224
14474c9c8
152ed0399
hex207e394

34071444 has 72 divisors (see below), whose sum is σ = 95030208. Its totient is φ = 10206720.

The previous prime is 34071431. The next prime is 34071461. The reversal of 34071444 is 44417043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37969 + ... + 38855.

It is an arithmetic number, because the mean of its divisors is an integer number (1319864).

Almost surely, 234071444 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 34071444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47515104).

34071444 is an abundant number, since it is smaller than the sum of its proper divisors (60958764).

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

34071444 is a wasteful number, since it uses less digits than its factorization.

34071444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 34071444 is about 5837.0749524055. The cubic root of 34071444 is about 324.1879339504.

Adding to 34071444 its reverse (44417043), we get a palindrome (78488487).

It can be divided in two parts, 3407 and 1444, that added together give a triangular number (4851 = T98).

The spelling of 34071444 in words is "thirty-four million, seventy-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 291 388 396 582 873 887 1067 1164 1746 1774 2134 2661 3201 3492 3548 4268 5322 6402 7983 9603 9757 10644 12804 15966 19206 19514 29271 31932 38412 39028 58542 86039 87813 117084 172078 175626 258117 344156 351252 516234 774351 946429 1032468 1548702 1892858 2839287 3097404 3785716 5678574 8517861 11357148 17035722 34071444