Search a number
-
+
34041438 = 2333112027
BaseRepresentation
bin1000000111011…
…0111001011110
32101001111002000
42001312321132
532203311223
63213343130
7562230114
oct201667136
971044060
1034041438
1118240922
12b497aa6
13708b682
144741ab4
152ec6543
hex2076e5e

34041438 has 32 divisors (see below), whose sum is σ = 75928320. Its totient is φ = 11305080.

The previous prime is 34041437. The next prime is 34041467. The reversal of 34041438 is 83414043.

It is a super-2 number, since 2×340414382 = 2317639002215688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041431) 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, 15781 + ... + 17807.

It is an arithmetic number, because the mean of its divisors is an integer number (2372760).

Almost surely, 234041438 is an apocalyptic number.

34041438 is an abundant number, since it is smaller than the sum of its proper divisors (41886882).

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

34041438 is a wasteful number, since it uses less digits than its factorization.

34041438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34041438 is about 5834.5040920373. The cubic root of 34041438 is about 324.0927375139.

The spelling of 34041438 in words is "thirty-four million, forty-one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 311 622 933 1866 2027 2799 4054 5598 6081 8397 12162 16794 18243 36486 54729 109458 630397 1260794 1891191 3782382 5673573 11347146 17020719 34041438