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3099816976 = 243124492
BaseRepresentation
bin1011100011000011…
…0111010000010000
322000000212000111011
42320300313100100
522322023120401
61231331500304
7136550003164
oct27060672020
98000760434
103099816976
111350847413
12726157694
133a5292939
1421598aca4
1513220e451
hexb8c37410

3099816976 has 45 divisors (see below), whose sum is σ = 6219735933. Its totient is φ = 1496570880.

The previous prime is 3099816971. The next prime is 3099817003. The reversal of 3099816976 is 6796189903.

The square root of 3099816976 is 55676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1894338576 + 1205478400 = 43524^2 + 34720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3099816976.

It is not an unprimeable number, because it can be changed into a prime (3099816971) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 6903600 + ... + 6904048.

Almost surely, 23099816976 is an apocalyptic number.

3099816976 is the 55676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3099816976

3099816976 is an abundant number, since it is smaller than the sum of its proper divisors (3119918957).

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

3099816976 is an frugal number, since it uses more digits than its factorization.

3099816976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 58.

The cubic root of 3099816976 is about 1458.0710398592.

It can be divided in two parts, 30998 and 16976, that added together give a palindrome (47974).

The spelling of 3099816976 in words is "three billion, ninety-nine million, eight hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 62 124 248 449 496 898 961 1796 1922 3592 3844 7184 7688 13919 15376 27838 55676 111352 201601 222704 403202 431489 806404 862978 1612808 1725956 3225616 3451912 6249631 6903824 12499262 24998524 49997048 99994096 193738561 387477122 774954244 1549908488 3099816976