Search a number
-
+
34810431 = 323613823
BaseRepresentation
bin1000010011001…
…0101000111111
32102111112221020
42010302220333
532402413211
63242035223
7601612065
oct204625077
972445836
1034810431
1118716657
12b7a8b13
13729a6b6
1448a2035
1530c9306
hex2132a3f

34810431 has 16 divisors (see below), whose sum is σ = 48569856. Its totient is φ = 22134816.

The previous prime is 34810429. The next prime is 34810471. The reversal of 34810431 is 13401843.

34810431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34810431 - 21 = 34810429 is a prime.

It is a super-2 number, since 2×348104312 = 2423532212811522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34810421) 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 15 ways as a sum of consecutive naturals, for example, 41886 + ... + 42708.

It is an arithmetic number, because the mean of its divisors is an integer number (3035616).

Almost surely, 234810431 is an apocalyptic number.

34810431 is a deficient number, since it is larger than the sum of its proper divisors (13759425).

34810431 is a wasteful number, since it uses less digits than its factorization.

34810431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 34810431 is about 5900.0365253107. The cubic root of 34810431 is about 326.5149970402.

The spelling of 34810431 in words is "thirty-four million, eight hundred ten thousand, four hundred thirty-one".

Divisors: 1 3 23 69 613 823 1839 2469 14099 18929 42297 56787 504499 1513497 11603477 34810431