Search a number
-
+
346232628 = 223272196277
BaseRepresentation
bin10100101000110…
…001011100110100
3220010111102212200
4110220301130310
51202113421003
654204544500
711402633400
oct2450613464
9803442780
10346232628
11168491775
1297b52130
13569674a1
1433daa100
15205e26a3
hex14a31734

346232628 has 54 divisors (see below), whose sum is σ = 1018093986. Its totient is φ = 98923104.

The previous prime is 346232599. The next prime is 346232629. The reversal of 346232628 is 826232643.

346232628 is a `hidden beast` number, since 3 + 4 + 6 + 23 + 2 + 628 = 666.

346232628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 332259984 + 13972644 = 18228^2 + 3738^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 346232592 and 346232601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346232629) 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 17 ways as a sum of consecutive naturals, for example, 96375 + ... + 99902.

Almost surely, 2346232628 is an apocalyptic number.

It is an amenable number.

346232628 is an abundant number, since it is smaller than the sum of its proper divisors (671861358).

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

346232628 is a wasteful number, since it uses less digits than its factorization.

346232628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196301 (or 196289 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 346232628 is about 18607.3272664292. The cubic root of 346232628 is about 702.1921941923.

The spelling of 346232628 in words is "three hundred forty-six million, two hundred thirty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 196277 392554 588831 785108 1177662 1373939 1766493 2355324 2747878 3532986 4121817 5495756 7065972 8243634 9617573 12365451 16487268 19235146 24730902 28852719 38470292 49461804 57705438 86558157 115410876 173116314 346232628