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3140024224 = 25315695563
BaseRepresentation
bin1011101100101000…
…1111011110100000
322002211111202110111
42323022033132200
522412321233344
61235325341104
7140545523401
oct27312173640
98084452414
103140024224
111371509747
12737707794
133b06cc8cc
1421b0559a8
15135a02834
hexbb28f7a0

3140024224 has 48 divisors (see below), whose sum is σ = 6393703680. Its totient is φ = 1516423680.

The previous prime is 3140024207. The next prime is 3140024233. The reversal of 3140024224 is 4224200413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3140024195 and 3140024204.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 561667 + ... + 567229.

It is an arithmetic number, because the mean of its divisors is an integer number (133202160).

Almost surely, 23140024224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196851840).

3140024224 is an abundant number, since it is smaller than the sum of its proper divisors (3253679456).

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

3140024224 is a wasteful number, since it uses less digits than its factorization.

3140024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3140024224 is about 56035.9190519795. The cubic root of 3140024224 is about 1464.3481161280.

Adding to 3140024224 its reverse (4224200413), we get a palindrome (7364224637).

The spelling of 3140024224 in words is "three billion, one hundred forty million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 569 992 1138 2276 4552 5563 9104 11126 17639 18208 22252 35278 44504 70556 89008 141112 172453 178016 282224 344906 564448 689812 1379624 2759248 3165347 5518496 6330694 12661388 25322776 50645552 98125757 101291104 196251514 392503028 785006056 1570012112 3140024224