Search a number
-
+
345130630 = 251319139729
BaseRepresentation
bin10100100100100…
…100011010000110
3220001102110012221
4110210210122012
51201323140010
654125202554
711360363515
oct2444443206
9801373187
10345130630
111678a9829
129770045a
135666ca10
1433ba067c
1520475dda
hex14924686

345130630 has 32 divisors (see below), whose sum is σ = 704239200. Its totient is φ = 120724992.

The previous prime is 345130627. The next prime is 345130631. The reversal of 345130630 is 36031543.

345130630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3451306303 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345130595 and 345130604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345130631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67395 + ... + 72334.

It is an arithmetic number, because the mean of its divisors is an integer number (22007475).

Almost surely, 2345130630 is an apocalyptic number.

345130630 is an abundant number, since it is smaller than the sum of its proper divisors (359108570).

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

345130630 is a wasteful number, since it uses less digits than its factorization.

345130630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139768.

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 345130630 is about 18577.6917295987. The cubic root of 345130630 is about 701.4464173573.

The spelling of 345130630 in words is "three hundred forty-five million, one hundred thirty thousand, six hundred thirty".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 190 247 494 1235 2470 139729 279458 698645 1397290 1816477 2654851 3632954 5309702 9082385 13274255 18164770 26548510 34513063 69026126 172565315 345130630