Search a number
-
+
334124888656 = 241323130753437
BaseRepresentation
bin1001101110010110110…
…01010011001001010000
31011221102201220222121011
410313023121103021100
520433241432414111
6413254515540304
733065632456546
oct4671331231120
91157381828534
10334124888656
11119779875219
12549098ba694
132567a961510
141225932dd96
158a584cc021
hex4dcb653250

334124888656 has 80 divisors (see below), whose sum is σ = 728046152064. Its totient is φ = 147391022592.

The previous prime is 334124888653. The next prime is 334124888663. The reversal of 334124888656 is 656888421433.

It is a super-2 number, since 2×3341248886562 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334124888656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334124888653) 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, 6225970 + ... + 6279406.

Almost surely, 2334124888656 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 334124888656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364023076032).

334124888656 is an abundant number, since it is smaller than the sum of its proper divisors (393921263408).

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

334124888656 is a wasteful number, since it uses less digits than its factorization.

334124888656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54788 (or 54782 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 58.

It can be divided in two parts, 3341248 and 88656, that added together give a square (3429904 = 18522).

The spelling of 334124888656 in words is "three hundred thirty-four billion, one hundred twenty-four million, eight hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 1307 2392 2614 4784 5228 10456 16991 20912 30061 33982 53437 60122 67964 106874 120244 135928 213748 240488 271856 390793 427496 480976 694681 781586 854992 1229051 1389362 1563172 2458102 2778724 3126344 4916204 5557448 6252688 9832408 11114896 15977663 19664816 31955326 63910652 69842159 127821304 139684318 255642608 279368636 558737272 907948067 1117474544 1606369657 1815896134 3212739314 3631792268 6425478628 7263584536 12850957256 14527169072 20882805541 25701914512 41765611082 83531222164 167062444328 334124888656