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3034116300 = 22352232959257
BaseRepresentation
bin1011010011011000…
…1111000011001100
321211110020002002210
42310312033003030
522203213210200
61221023350420
7135121364055
oct26466170314
97743202083
103034116300
111317752536
12708152410
1339479acb7
1420ad6772c
1512b582650
hexb4d8f0cc

3034116300 has 288 divisors, whose sum is σ = 9674380800. Its totient is φ = 731709440.

The previous prime is 3034116299. The next prime is 3034116347. The reversal of 3034116300 is 36114303.

3034116300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11805772 + ... + 11806028.

It is an arithmetic number, because the mean of its divisors is an integer number (33591600).

Almost surely, 23034116300 is an apocalyptic number.

3034116300 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 3034116300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837190400).

3034116300 is an abundant number, since it is smaller than the sum of its proper divisors (6640264500).

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

3034116300 is a wasteful number, since it uses less digits than its factorization.

3034116300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3034116300 is about 55082.8131089907. The cubic root of 3034116300 is about 1447.6961114313.

It can be divided in two parts, 3034116 and 300, that added together give a triangular number (3034416 = T2463).

The spelling of 3034116300 in words is "three billion, thirty-four million, one hundred sixteen thousand, three hundred".