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3124314396 = 2233712133407
BaseRepresentation
bin1011101000111001…
…0100000100011100
322001201221121122000
42322032110010130
522344311030041
61234004522300
7140265143220
oct27216240434
98051847560
103124314396
111363659715
127323b0390
133aa38c158
14218d26780
1513444cbb6
hexba39411c

3124314396 has 96 divisors (see below), whose sum is σ = 9267578880. Its totient is φ = 891663552.

The previous prime is 3124314367. The next prime is 3124314407. The reversal of 3124314396 is 6934134213.

It is a super-2 number, since 2×31243143962 = 19522680890105689632, 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 self number, because there is not a number n which added to its sum of digits gives 3124314396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915325 + ... + 918731.

It is an arithmetic number, because the mean of its divisors is an integer number (96537280).

Almost surely, 23124314396 is an apocalyptic number.

3124314396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3124314396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633789440).

3124314396 is an abundant number, since it is smaller than the sum of its proper divisors (6143264484).

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

3124314396 is a wasteful number, since it uses less digits than its factorization.

3124314396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4632 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3124314396 is about 55895.5668725168. The cubic root of 3124314396 is about 1461.9019429794.

The spelling of 3124314396 in words is "three billion, one hundred twenty-four million, three hundred fourteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1213 2426 3407 3639 4852 6814 7278 8491 10221 10917 13628 14556 16982 20442 21834 23849 25473 30663 32751 33964 40884 43668 47698 50946 61326 65502 71547 76419 91989 95396 101892 122652 131004 143094 152838 183978 214641 229257 286188 305676 367956 429282 458514 643923 858564 917028 1287846 2575692 4132691 8265382 12398073 16530764 24796146 28928837 37194219 49592292 57857674 74388438 86786511 111582657 115715348 148776876 173573022 223165314 260359533 347146044 446330628 520719066 781078599 1041438132 1562157198 3124314396