Search a number
-
+
34000044 = 223131911471
BaseRepresentation
bin1000000110110…
…0110010101100
32100222101021220
42001230302230
532201000134
63212423340
7561665331
oct201546254
970871256
1034000044
1118212811
12b477b50
137075890
144730988
152eb9149
hex206ccac

34000044 has 48 divisors (see below), whose sum is σ = 89940480. Its totient is φ = 9910080.

The previous prime is 34000019. The next prime is 34000061. The reversal of 34000044 is 44000043.

It is a junction number, because it is equal to n+sod(n) for n = 33999987 and 34000032.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2772 + ... + 8699.

It is an arithmetic number, because the mean of its divisors is an integer number (1873760).

Almost surely, 234000044 is an apocalyptic number.

It is an amenable number.

34000044 is an abundant number, since it is smaller than the sum of its proper divisors (55940436).

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

34000044 is a wasteful number, since it uses less digits than its factorization.

34000044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11510 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34000044 is about 5830.9556678130. The cubic root of 34000044 is about 323.9613198756.

Adding to 34000044 its reverse (44000043), we get a palindrome (78000087).

Subtracting 34000044 from its reverse (44000043), we obtain a palindrome (9999999).

The spelling of 34000044 in words is "thirty-four million, forty-four", and thus it is an aban number and an eban number.

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 11471 22942 34413 45884 68826 137652 149123 217949 298246 435898 447369 596492 653847 871796 894738 1307694 1789476 2615388 2833337 5666674 8500011 11333348 17000022 34000044