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3144145340 = 2257130717183
BaseRepresentation
bin1011101101100111…
…1101100110111100
322010010021010120102
42323121331212330
522414400122330
61235553540232
7140625536330
oct27331754674
98103233512
103144145340
111373873a26
12738b74678
133b151363b
1421b8097c0
15136068945
hexbb67d9bc

3144145340 has 48 divisors (see below), whose sum is σ = 7552161792. Its totient is φ = 1077105216.

The previous prime is 3144145321. The next prime is 3144145343. The reversal of 3144145340 is 435414413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144145343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174389 + ... + 191571.

It is an arithmetic number, because the mean of its divisors is an integer number (157336704).

Almost surely, 23144145340 is an apocalyptic number.

It is an amenable number.

3144145340 is an abundant number, since it is smaller than the sum of its proper divisors (4408016452).

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

3144145340 is a wasteful number, since it uses less digits than its factorization.

3144145340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18506 (or 18504 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 3144145340 is about 56072.6790870563. The cubic root of 3144145340 is about 1464.9884625975.

Adding to 3144145340 its reverse (435414413), we get a palindrome (3579559753).

The spelling of 3144145340 in words is "three billion, one hundred forty-four million, one hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1307 2614 5228 6535 9149 13070 17183 18298 26140 34366 36596 45745 68732 85915 91490 120281 171830 182980 240562 343660 481124 601405 1202810 2405620 22458181 44916362 89832724 112290905 157207267 224581810 314414534 449163620 628829068 786036335 1572072670 3144145340