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344337037668 = 2232131329755333
BaseRepresentation
bin1010000001011000001…
…01100011100101100100
31012220210102212220110100
411000230011203211210
521120200240201133
6422104121424100
733606664346001
oct5005405434544
91186712786410
10344337037668
1112303a30a998
125689993b030
132661759aa40
14129477188a8
158e54ce3e13
hex502c163964

344337037668 has 72 divisors (see below), whose sum is σ = 937449371768. Its totient is φ = 105939975168.

The previous prime is 344337037663. The next prime is 344337037691. The reversal of 344337037668 is 866730733443.

It is a happy number.

344337037668 is a `hidden beast` number, since 3 + 443 + 3 + 70 + 3 + 76 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38784575844 + 305552461824 = 196938^2 + 552768^2 .

It is not an unprimeable number, because it can be changed into a prime (344337037663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6195330 + ... + 6250662.

Almost surely, 2344337037668 is an apocalyptic number.

It is an amenable number.

344337037668 is an abundant number, since it is smaller than the sum of its proper divisors (593112334100).

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

344337037668 is a wasteful number, since it uses less digits than its factorization.

344337037668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68653 (or 68648 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 344337037668 in words is "three hundred forty-four billion, three hundred thirty-seven million, thirty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 13297 26594 39891 53188 55333 79782 110666 119673 159564 165999 172861 221332 239346 331998 345722 478692 497997 518583 663996 691444 719329 995994 1037166 1438658 1555749 1991988 2074332 2157987 2877316 3111498 4315974 6222996 6473961 8631948 12947922 25895844 735762901 1471525802 2207288703 2943051604 4414577406 6621866109 8829154812 9564917713 13243732218 19129835426 26487464436 28694753139 38259670852 57389506278 86084259417 114779012556 172168518834 344337037668