Search a number
-
+
30814992 = 2434133159
BaseRepresentation
bin111010110001…
…1001100010000
32010222120020000
41311203030100
530342034432
63020250000
7522631425
oct165431420
963876200
1030814992
111643783a
12a3a0900
1364cbc30
144141d4c
152a8a57c
hex1d63310

30814992 has 200 divisors, whose sum is σ = 100826880. Its totient is φ = 9020160.

The previous prime is 30814981. The next prime is 30814997. The reversal of 30814992 is 29941803.

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

It is not an unprimeable number, because it can be changed into a prime (30814997) 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 39 ways as a sum of consecutive naturals, for example, 522259 + ... + 522317.

Almost surely, 230814992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30814992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50413440).

30814992 is an abundant number, since it is smaller than the sum of its proper divisors (70011888).

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

30814992 is a wasteful number, since it uses less digits than its factorization.

30814992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 30814992 is about 5551.1252913261. The cubic root of 30814992 is about 313.5118925916.

The spelling of 30814992 in words is "thirty million, eight hundred fourteen thousand, nine hundred ninety-two".