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30868992 = 293371129
BaseRepresentation
bin111010111000…
…0011000000000
32011002022022000
41311300120000
530400301432
63021344000
7523245030
oct165603000
964068260
1030868992
1116474370
12a408000
13651a69b
1441578c0
152a9b57c
hex1d70600

30868992 has 320 divisors, whose sum is σ = 117849600. Its totient is φ = 7741440.

The previous prime is 30868973. The next prime is 30868993. The reversal of 30868992 is 29986803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30868993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064434 + ... + 1064462.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 230868992 is an apocalyptic number.

30868992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

30868992 is an abundant number, since it is smaller than the sum of its proper divisors (86980608).

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

30868992 is a wasteful number, since it uses less digits than its factorization.

30868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 30868992 is about 5555.9870410216. The cubic root of 30868992 is about 313.6949178182.

The spelling of 30868992 in words is "thirty million, eight hundred sixty-eight thousand, nine hundred ninety-two".