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3090600000 = 26325517101
BaseRepresentation
bin1011100000110110…
…1101000001000000
321222101111202011200
42320031231001000
522312143200000
61230402141200
7136405444425
oct27015550100
97871452150
103090600000
111346621584
12723051800
133a33b65c7
1421466bd4c
151314dd500
hexb836d040

3090600000 has 504 divisors, whose sum is σ = 11840007816. Its totient is φ = 768000000.

The previous prime is 3090599989. The next prime is 3090600031. The reversal of 3090600000 is 60903.

It can be written as a sum of positive squares in 12 ways, for example, as 2434830336 + 655769664 = 49344^2 + 25608^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30599950 + ... + 30600050.

It is an arithmetic number, because the mean of its divisors is an integer number (23492079).

Almost surely, 23090600000 is an apocalyptic number.

3090600000 is a gapful number since it is divisible by the number (30) 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 3090600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920003908).

3090600000 is an abundant number, since it is smaller than the sum of its proper divisors (8749407816).

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

3090600000 is a wasteful number, since it uses less digits than its factorization.

3090600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3090600000 is about 55593.1650475128. The cubic root of 3090600000 is about 1456.6244654593.

Adding to 3090600000 its reverse (60903), we get a palindrome (3090660903).

The spelling of 3090600000 in words is "three billion, ninety million, six hundred thousand".