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3124334020 = 22537103179229
BaseRepresentation
bin1011101000111001…
…1000110111000100
322001201222121112211
42322032120313010
522344312142040
61234005153204
7140265254353
oct27216306704
98051877484
103124334020
111363672435
127323bb804
133aa398072
14218d2d99a
151344538ea
hexba398dc4

3124334020 has 96 divisors (see below), whose sum is σ = 6871737600. Its totient is φ = 1192195584.

The previous prime is 3124334009. The next prime is 3124334021. The reversal of 3124334020 is 204334213.

It is a happy number.

3124334020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31243340202 = 19522926137058720800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3124333982 and 3124334000.

It is not an unprimeable number, because it can be changed into a prime (3124334021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13643266 + ... + 13643494.

It is an arithmetic number, because the mean of its divisors is an integer number (71580600).

Almost surely, 23124334020 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 3124334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435868800).

3124334020 is an abundant number, since it is smaller than the sum of its proper divisors (3747403580).

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

3124334020 is a wasteful number, since it uses less digits than its factorization.

3124334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3124334020 is about 55895.7424138905. The cubic root of 3124334020 is about 1461.9050037366.

Adding to 3124334020 its reverse (204334213), we get a palindrome (3328668233).

The spelling of 3124334020 in words is "three billion, one hundred twenty-four million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 103 148 179 185 206 229 358 370 412 458 515 716 740 895 916 1030 1145 1790 2060 2290 3580 3811 4580 6623 7622 8473 13246 15244 16946 18437 19055 23587 26492 33115 33892 36874 38110 40991 42365 47174 66230 73748 76220 81982 84730 92185 94348 117935 132460 163964 169460 184370 204955 235870 368740 409910 471740 682169 819820 872719 1364338 1516667 1745438 2728676 3033334 3410845 3490876 4222073 4363595 6066668 6821690 7583335 8444146 8727190 13643380 15166670 16888292 17454380 21110365 30333340 42220730 84441460 156216701 312433402 624866804 781083505 1562167010 3124334020