Search a number
-
+
34900131 = 3719233803
BaseRepresentation
bin1000010100100…
…0100010100011
32102200002222110
42011020202203
532413301011
63244010403
7602434440
oct205104243
972602873
1034900131
1118777a92
12b830a03
1372cc486
1448c69c7
1530e5ba6
hex21488a3

34900131 has 32 divisors (see below), whose sum is σ = 58429440. Its totient is φ = 18067104.

The previous prime is 34900127. The next prime is 34900147. The reversal of 34900131 is 13100943.

It is not a de Polignac number, because 34900131 - 22 = 34900127 is a prime.

It is a super-2 number, since 2×349001312 = 2436038287634322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34900098 and 34900107.

It is not an unprimeable number, because it can be changed into a prime (34900181) 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, 7276 + ... + 11078.

It is an arithmetic number, because the mean of its divisors is an integer number (1825920).

Almost surely, 234900131 is an apocalyptic number.

34900131 is a deficient number, since it is larger than the sum of its proper divisors (23529309).

34900131 is a wasteful number, since it uses less digits than its factorization.

34900131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 34900131 is about 5907.6332824575. The cubic root of 34900131 is about 326.7952126100.

The spelling of 34900131 in words is "thirty-four million, nine hundred thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 23 57 69 133 161 399 437 483 1311 3059 3803 9177 11409 26621 72257 79863 87469 216771 262407 505799 612283 1517397 1661911 1836849 4985733 11633377 34900131