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3124242312 = 2334119316451
BaseRepresentation
bin1011101000111000…
…0010011110001000
322001201210221202020
42322032002132020
522344301223222
61234003204440
7140264423112
oct27216023610
98051727666
103124242312
11136360a544
12732376720
133aa3653b9
14218d083b2
1513443665c
hexba382788

3124242312 has 64 divisors (see below), whose sum is σ = 8043053760. Its totient is φ = 1010688000.

The previous prime is 3124242311. The next prime is 3124242347. The reversal of 3124242312 is 2132424213.

It is a happy number.

It is a super-2 number, since 2×31242423122 = 19521780048182210688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (3124242311) 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, 181687 + ... + 198137.

It is an arithmetic number, because the mean of its divisors is an integer number (125672715).

Almost surely, 23124242312 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 3124242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021526880).

3124242312 is an abundant number, since it is smaller than the sum of its proper divisors (4918811448).

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

3124242312 is a wasteful number, since it uses less digits than its factorization.

3124242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16694 (or 16690 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3124242312 is about 55894.9220591638. The cubic root of 3124242312 is about 1461.8906999207.

Adding to 3124242312 its reverse (2132424213), we get a palindrome (5256666525).

The spelling of 3124242312 in words is "three billion, one hundred twenty-four million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 193 246 328 386 492 579 772 984 1158 1544 2316 4632 7913 15826 16451 23739 31652 32902 47478 49353 63304 65804 94956 98706 131608 189912 197412 394824 674491 1348982 2023473 2697964 3175043 4046946 5395928 6350086 8093892 9525129 12700172 16187784 19050258 25400344 38100516 76201032 130176763 260353526 390530289 520707052 781060578 1041414104 1562121156 3124242312