Search a number
-
+
341224001220 = 223523379652411
BaseRepresentation
bin1001111011100101000…
…10010000111011000100
31012121202111011021021010
410331302202100323010
521042311321014340
6420431154322220
733436564103664
oct4756242207304
91177674137233
10341224001220
111217920645a3
125616b289370
132623c65a03b
14127300ca1a4
158d21872b80
hex4f72890ec4

341224001220 has 96 divisors (see below), whose sum is σ = 999599569920. Its totient is φ = 86807064960.

The previous prime is 341224001219. The next prime is 341224001267. The reversal of 341224001220 is 22100422143.

It is a super-2 number, since 2×3412240012202 (a number of 24 digits) contains 22 as substring.

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, 196815 + ... + 849225.

It is an arithmetic number, because the mean of its divisors is an integer number (10412495520).

Almost surely, 2341224001220 is an apocalyptic number.

341224001220 is a gapful number since it is divisible by the number (30) 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 341224001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499799784960).

341224001220 is an abundant number, since it is smaller than the sum of its proper divisors (658375568700).

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

341224001220 is a wasteful number, since it uses less digits than its factorization.

341224001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652825 (or 652823 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 341224001220 its reverse (22100422143), we get a palindrome (363324423363).

The spelling of 341224001220 in words is "three hundred forty-one billion, two hundred twenty-four million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 379 460 690 758 1137 1380 1516 1895 2274 3790 4548 5685 7580 8717 11370 17434 22740 26151 34868 43585 52302 87170 104604 130755 174340 261510 523020 652411 1304822 1957233 2609644 3262055 3914466 6524110 7828932 9786165 13048220 15005453 19572330 30010906 39144660 45016359 60021812 75027265 90032718 150054530 180065436 225081795 247263769 300109060 450163590 494527538 741791307 900327180 989055076 1236318845 1483582614 2472637690 2967165228 3708956535 4945275380 5687066687 7417913070 11374133374 14835826140 17061200061 22748266748 28435333435 34122400122 56870666870 68244800244 85306000305 113741333740 170612000610 341224001220