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3412241300 = 22521331227373
BaseRepresentation
bin1100101101100010…
…1010101110010100
322210210201211002102
43023120222232110
523442013210200
61322332101232
7150362400236
oct31330525624
98723654072
103412241300
1114a1137436
127b2904818
13424c208c0
14245276256
1514e8746d5
hexcb62ab94

3412241300 has 144 divisors (see below), whose sum is σ = 8289802752. Its totient is φ = 1210636800.

The previous prime is 3412241281. The next prime is 3412241311. The reversal of 3412241300 is 31422143.

3412241300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9147914 + ... + 9148286.

Almost surely, 23412241300 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 3412241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144901376).

3412241300 is an abundant number, since it is smaller than the sum of its proper divisors (4877561452).

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

3412241300 is a wasteful number, since it uses less digits than its factorization.

3412241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3412241300 is about 58414.3929181841. The cubic root of 3412241300 is about 1505.4970599092.

Adding to 3412241300 its reverse (31422143), we get a palindrome (3443663443).

The spelling of 3412241300 in words is "three billion, four hundred twelve million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 227 260 310 325 373 403 454 620 650 746 775 806 908 1135 1300 1492 1550 1612 1865 2015 2270 2951 3100 3730 4030 4540 4849 5675 5902 7037 7460 8060 9325 9698 10075 11350 11563 11804 14074 14755 18650 19396 20150 22700 23126 24245 28148 29510 35185 37300 40300 46252 48490 57815 59020 70370 73775 84671 91481 96980 115630 121225 140740 147550 150319 169342 175925 182962 231260 242450 289075 295100 300638 338684 351850 365924 423355 457405 484900 578150 601276 703700 751595 846710 914810 1100723 1156300 1503190 1693420 1829620 2116775 2201446 2287025 2624801 3006380 3757975 4233550 4402892 4574050 5249602 5503615 7515950 8467100 9148100 10499204 11007230 13124005 15031900 22014460 26248010 27518075 34122413 52496020 55036150 65620025 68244826 110072300 131240050 136489652 170612065 262480100 341224130 682448260 853060325 1706120650 3412241300