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2628030300 = 22352741131233
BaseRepresentation
bin1001110010100100…
…1000111101011100
320210011002202211120
42130221020331130
520340233432200
61112435450540
7122060613630
oct23451107534
96704082746
102628030300
111129500075
12614156a50
1332b60851c
141ad05adc0
15105aba9a0
hex9ca48f5c

2628030300 has 288 divisors, whose sum is σ = 9008423424. Its totient is φ = 579072000.

The previous prime is 2628030283. The next prime is 2628030313. The reversal of 2628030300 is 30308262.

2628030300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11278984 + ... + 11279216.

It is an arithmetic number, because the mean of its divisors is an integer number (31279248).

Almost surely, 22628030300 is an apocalyptic number.

2628030300 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 2628030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504211712).

2628030300 is an abundant number, since it is smaller than the sum of its proper divisors (6380393124).

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

2628030300 is a wasteful number, since it uses less digits than its factorization.

2628030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2628030300 is about 51264.3179999500. The cubic root of 2628030300 is about 1379.9927010746.

Adding to 2628030300 its reverse (30308262), we get a palindrome (2658338562).

The spelling of 2628030300 in words is "two billion, six hundred twenty-eight million, thirty thousand, three hundred".