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344112302412 = 223231438238713
BaseRepresentation
bin1010000000111101011…
…00010000100101001100
31012220012210000011122100
411000132230100211030
521114220222134122
6422025532515100
733601265211114
oct5003654204514
91186183004570
10344112302412
11122a34472a7a
125683661ba90
13265acb62bb8
1412925938044
158e40200aac
hex501eb1094c

344112302412 has 144 divisors (see below), whose sum is σ = 920002091008. Its totient is φ = 108278311680.

The previous prime is 344112302393. The next prime is 344112302473. The reversal of 344112302412 is 214203211443.

344112302412 is a `hidden beast` number, since 3 + 4 + 4 + 11 + 230 + 2 + 412 = 666.

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, 39489768 + ... + 39498480.

Almost surely, 2344112302412 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 344112302412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460001045504).

344112302412 is an abundant number, since it is smaller than the sum of its proper divisors (575889788596).

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

344112302412 is a wasteful number, since it uses less digits than its factorization.

344112302412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9620 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 344112302412 its reverse (214203211443), we get a palindrome (558315513855).

The spelling of 344112302412 in words is "three hundred forty-four billion, one hundred twelve million, three hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 258 279 372 387 516 558 774 823 1116 1333 1548 1646 2469 2666 3292 3999 4938 5332 7407 7998 8713 9876 11997 14814 15996 17426 23994 25513 26139 29628 34852 35389 47988 51026 52278 70778 76539 78417 102052 104556 106167 141556 153078 156834 212334 229617 270103 306156 313668 318501 374659 424668 459234 540206 637002 749318 810309 918468 1080412 1097059 1123977 1274004 1498636 1620618 2194118 2247954 2430927 3241236 3291177 3371931 4388236 4495908 4861854 6582354 6743862 7170799 9723708 9873531 11614429 13164708 13487724 14341598 19747062 21512397 23228858 28683196 34843287 39494124 43024794 46457716 64537191 69686574 86049588 104529861 129074382 139373148 209059722 222294769 258148764 308344357 418119444 444589538 616688714 666884307 889179076 925033071 1233377428 1333768614 1850066142 2000652921 2667537228 2775099213 3700132284 4001305842 5550198426 8002611684 9558675067 11100396852 19117350134 28676025201 38234700268 57352050402 86028075603 114704100804 172056151206 344112302412