Search a number
-
+
34126974 = 2337137659
BaseRepresentation
bin1000001000101…
…1110001111110
32101012211102000
42002023301332
532214030344
63215243130
7563034360
oct202136176
971184360
1034126974
111829a112
12b5194a6
1370bb59b
144764d30
152ee1a69
hex208bc7e

34126974 has 64 divisors (see below), whose sum is σ = 87436800. Its totient is φ = 9664704.

The previous prime is 34126969. The next prime is 34127033. The reversal of 34126974 is 47962143.

34126974 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 31 ways as a sum of consecutive naturals, for example, 51457 + ... + 52115.

It is an arithmetic number, because the mean of its divisors is an integer number (1366200).

Almost surely, 234126974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34126974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43718400).

34126974 is an abundant number, since it is smaller than the sum of its proper divisors (53309826).

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

34126974 is a wasteful number, since it uses less digits than its factorization.

34126974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 34126974 is about 5841.8296791331. The cubic root of 34126974 is about 324.3639599971.

The spelling of 34126974 in words is "thirty-four million, one hundred twenty-six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 137 189 274 378 411 659 822 959 1233 1318 1918 1977 2466 2877 3699 3954 4613 5754 5931 7398 8631 9226 11862 13839 17262 17793 25893 27678 35586 41517 51786 83034 90283 124551 180566 249102 270849 541698 631981 812547 1263962 1625094 1895943 2437641 3791886 4875282 5687829 11375658 17063487 34126974