Search a number
-
+
30286932948 = 22323312541703
BaseRepresentation
bin11100001101001111…
…011110101111010100
32220011202012121101100
4130031033132233110
5444011423323243
621525202030100
72121352453026
oct341517365724
986152177340
1030286932948
1111932202aa8
125a53048330
132b189692cc
1416745ba016
15bc3e060d3
hex70d3debd4

30286932948 has 36 divisors (see below), whose sum is σ = 76789961248. Its totient is φ = 10065139920.

The previous prime is 30286932943. The next prime is 30286932953. The reversal of 30286932948 is 84923968203.

It is a happy number.

30286932948 is a `hidden beast` number, since 30 + 286 + 9 + 329 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (30286932943) and next prime (30286932953).

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 30286932894 and 30286932903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30286932943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1258936 + ... + 1282767.

Almost surely, 230286932948 is an apocalyptic number.

It is an amenable number.

30286932948 is an abundant number, since it is smaller than the sum of its proper divisors (46503028300).

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

30286932948 is a wasteful number, since it uses less digits than its factorization.

30286932948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542044 (or 2542039 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 30286932948 in words is "thirty billion, two hundred eighty-six million, nine hundred thirty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 331 662 993 1324 1986 2979 3972 5958 11916 2541703 5083406 7625109 10166812 15250218 22875327 30500436 45750654 91501308 841303693 1682607386 2523911079 3365214772 5047822158 7571733237 10095644316 15143466474 30286932948