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3144268224 = 26325458799
BaseRepresentation
bin1011101101101001…
…1011100111000000
322010010111101010200
42323122123213000
522414413040344
61240000325200
7140626560516
oct27332334700
98103441120
103144268224
111373948289
12739013800
133b1557556
1421b83c4b6
15136090069
hexbb69b9c0

3144268224 has 42 divisors (see below), whose sum is σ = 9012478800. Its totient is φ = 1048089216.

The previous prime is 3144268223. The next prime is 3144268249. The reversal of 3144268224 is 4228624413.

3144268224 is a `hidden beast` number, since 3 + 1 + 4 + 426 + 8 + 224 = 666.

It is a super-2 number, since 2×31442682242 = 19772845328912228352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144268223) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2728824 + ... + 2729975.

Almost surely, 23144268224 is an apocalyptic number.

It is an amenable number.

3144268224 is an abundant number, since it is smaller than the sum of its proper divisors (5868210576).

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

3144268224 is a wasteful number, since it uses less digits than its factorization.

3144268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458817 (or 5458804 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 3144268224 is about 56073.7748328040. The cubic root of 3144268224 is about 1465.0075479426.

The spelling of 3144268224 in words is "three billion, one hundred forty-four million, two hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5458799 10917598 16376397 21835196 32752794 43670392 49129191 65505588 87340784 98258382 131011176 174681568 196516764 262022352 349363136 393033528 524044704 786067056 1048089408 1572134112 3144268224