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3099814272 = 27341743409
BaseRepresentation
bin1011100011000011…
…0110100110000000
322000000211212210000
42320300312212000
522322023024042
61231331440000
7136546662252
oct27060664600
98000755700
103099814272
111350845385
12726156000
133a5291639
14215989cd2
1513220d74c
hexb8c36980

3099814272 has 320 divisors, whose sum is σ = 10019235600. Its totient is φ = 947552256.

The previous prime is 3099814243. The next prime is 3099814309. The reversal of 3099814272 is 2724189903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7578804 + ... + 7579212.

Almost surely, 23099814272 is an apocalyptic number.

3099814272 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 3099814272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009617800).

3099814272 is an abundant number, since it is smaller than the sum of its proper divisors (6919421328).

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

3099814272 is a wasteful number, since it uses less digits than its factorization.

3099814272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3099814272 is about 55675.9757166410. The cubic root of 3099814272 is about 1458.0706158959.

The spelling of 3099814272 in words is "three billion, ninety-nine million, eight hundred fourteen thousand, two hundred seventy-two".