Search a number
-
+
34312120 = 2351750459
BaseRepresentation
bin1000001011100…
…0111110111000
32101120020101021
42002320332320
532240441440
63223232224
7564435223
oct202707670
971506337
1034312120
1118406227
12b5a8674
13715493b
1447b25ba
15302b84a
hex20b8fb8

34312120 has 32 divisors (see below), whose sum is σ = 81745200. Its totient is φ = 12917248.

The previous prime is 34312097. The next prime is 34312129. The reversal of 34312120 is 2121343.

It is a happy number.

34312120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34312094 and 34312103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24550 + ... + 25909.

Almost surely, 234312120 is an apocalyptic number.

It is an amenable number.

34312120 is an abundant number, since it is smaller than the sum of its proper divisors (47433080).

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

34312120 is a wasteful number, since it uses less digits than its factorization.

34312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50487 (or 50483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34312120 is about 5857.6548208306. The cubic root of 34312120 is about 324.9494832725.

Adding to 34312120 its reverse (2121343), we get a palindrome (36433463).

The spelling of 34312120 in words is "thirty-four million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 50459 100918 201836 252295 403672 504590 857803 1009180 1715606 2018360 3431212 4289015 6862424 8578030 17156060 34312120