Search a number
-
+
34431102 = 23359101107
BaseRepresentation
bin1000001101011…
…0000001111110
32101210021121000
42003112001332
532303243402
63225551130
7565442136
oct203260176
971707530
1034431102
1118487662
12b6454a6
137196b44
144803ac6
153051c1c
hex20d607e

34431102 has 64 divisors (see below), whose sum is σ = 79315200. Its totient is φ = 11066400.

The previous prime is 34431101. The next prime is 34431151. The reversal of 34431102 is 20113443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321733 + ... + 321839.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 234431102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34431102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39657600).

34431102 is an abundant number, since it is smaller than the sum of its proper divisors (44884098).

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

34431102 is a wasteful number, since it uses less digits than its factorization.

34431102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34431102 is about 5867.8021439036. The cubic root of 34431102 is about 325.3246523129.

Adding to 34431102 its reverse (20113443), we get a palindrome (54544545).

The spelling of 34431102 in words is "thirty-four million, four hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 59 101 107 118 177 202 214 303 321 354 531 606 642 909 963 1062 1593 1818 1926 2727 2889 3186 5454 5778 5959 6313 10807 11918 12626 17877 18939 21614 32421 35754 37878 53631 56817 64842 97263 107262 113634 160893 170451 194526 291789 321786 340902 583578 637613 1275226 1912839 3825678 5738517 11477034 17215551 34431102