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2930253300 = 22335213312693
BaseRepresentation
bin1010111010101000…
…0001110111110100
321120012210021212000
42232222001313310
522000121101200
61202433255300
7132420512352
oct25652016764
97505707760
102930253300
111274062747
12699404530
133791040c0
141db24c7d2
151223b8300
hexaea81df4

2930253300 has 288 divisors, whose sum is σ = 10475996160. Its totient is φ = 697766400.

The previous prime is 2930253289. The next prime is 2930253307. The reversal of 2930253300 is 33520392.

2930253300 is a `hidden beast` number, since 2 + 9 + 302 + 53 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930253307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1086754 + ... + 1089446.

Almost surely, 22930253300 is an apocalyptic number.

2930253300 is a gapful number since it is divisible by the number (20) 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 2930253300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237998080).

2930253300 is an abundant number, since it is smaller than the sum of its proper divisors (7545742860).

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

2930253300 is a wasteful number, since it uses less digits than its factorization.

2930253300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 2930253300 is about 54131.8141207183. The cubic root of 2930253300 is about 1430.9849116543.

Adding to 2930253300 its reverse (33520392), we get a palindrome (2963773692).

The spelling of 2930253300 in words is "two billion, nine hundred thirty million, two hundred fifty-three thousand, three hundred".