Search a number
-
+
30828134344 = 2374711712817
BaseRepresentation
bin11100101101011111…
…111111111111001000
32221120110120111010111
4130231133333333020
51001114000244334
622055013524104
72140643550460
oct345537777710
987513514114
1030828134344
111208a750687
125b84343634
132ba3b18a17
1416c6418ba0
15c066ac064
hex72d7fffc8

30828134344 has 32 divisors (see below), whose sum is σ = 67465831680. Its totient is φ = 12930948864.

The previous prime is 30828134329. The next prime is 30828134347. The reversal of 30828134344 is 44343182803.

It is a happy number.

It is a super-3 number, since 3×308281343443 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30828134297 and 30828134306.

It is not an unprimeable number, because it can be changed into a prime (30828134347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5853777 + ... + 5859040.

It is an arithmetic number, because the mean of its divisors is an integer number (2108307240).

Almost surely, 230828134344 is an apocalyptic number.

It is an amenable number.

30828134344 is an abundant number, since it is smaller than the sum of its proper divisors (36637697336).

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

30828134344 is a wasteful number, since it uses less digits than its factorization.

30828134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712877 (or 11712873 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 30828134344 in words is "thirty billion, eight hundred twenty-eight million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 2632 11712817 23425634 46851268 81989719 93702536 163979438 327958876 550502399 655917752 1101004798 2202009596 3853516793 4404019192 7707033586 15414067172 30828134344