Search a number
-
+
334213634433630 = 235731119394300067
BaseRepresentation
bin100101111111101110010110…
…0111101011010001001011110
31121211100111210211012201120010
41023333130230331122021132
5322301224010403334010
63142451342444504050
7130253065264665660
oct11377345475321136
91554314724181503
10334213634433630
119754422a785106
1231598a11b4b026
13114642975c4263
145c76051d1a530
1528989e4a39620
hex12ff72cf5a25e

334213634433630 has 128 divisors (see below), whose sum is σ = 946350709309440. Its totient is φ = 73921230587520.

The previous prime is 334213634433629. The next prime is 334213634433659. The reversal of 334213634433630 is 36334436312433.

It is a happy number.

It is a super-2 number, since 2×3342136344336302 (a number of 30 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 334213634433630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75572857 + ... + 79872923.

It is an arithmetic number, because the mean of its divisors is an integer number (7393364916480).

Almost surely, 2334213634433630 is an apocalyptic number.

334213634433630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334213634433630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473175354654720).

334213634433630 is an abundant number, since it is smaller than the sum of its proper divisors (612137074875810).

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

334213634433630 is a wasteful number, since it uses less digits than its factorization.

334213634433630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312054.

The product of its (nonzero) digits is 10077696, while the sum is 48.

The spelling of 334213634433630 in words is "three hundred thirty-four trillion, two hundred thirteen billion, six hundred thirty-four million, four hundred thirty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 3255 6510 11939 23878 35817 59695 71634 83573 119390 167146 179085 250719 358170 370109 417865 501438 740218 835730 1110327 1253595 1850545 2220654 2507190 2590763 3701090 4300067 5181526 5551635 7772289 8600134 11103270 12900201 12953815 15544578 21500335 25800402 25907630 30100469 38861445 43000670 60200938 64501005 77722890 90301407 129002010 133302077 150502345 180602814 266604154 301004690 399906231 451507035 666510385 799812462 903014070 933114539 1333020770 1866229078 1999531155 2799343617 3999062310 4665572695 5598687234 9331145390 13996718085 27993436170 51338499913 102676999826 154015499739 256692499565 308030999478 359369499391 513384999130 718738998782 770077498695 1078108498173 1540154997390 1591493497303 1796847496955 2156216996346 3182986994606 3593694993910 4774480491909 5390542490865 7957467486515 9548960983818 10781084981730 11140454481121 15914934973030 22280908962242 23872402459545 33421363443363 47744804919090 55702272405605 66842726886726 111404544811210 167106817216815 334213634433630