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344103021405 = 325111383644261
BaseRepresentation
bin1010000000111100010…
…00110110101101011101
31012220012010112122111100
411000132020312231131
521114210333141110
6422025001543313
733601123264563
oct5003610665535
91186163478440
10344103021405
11122a2a204020
12568334a4b39
13265aac63690
14129245dda33
158e3e4babc0
hex501e236b5d

344103021405 has 96 divisors (see below), whose sum is σ = 709162376832. Its totient is φ = 152148441600.

The previous prime is 344103021401. The next prime is 344103021439. The reversal of 344103021405 is 504120301443.

It is a happy number.

344103021405 is a `hidden beast` number, since 3 + 4 + 410 + 30 + 214 + 0 + 5 = 666.

It is not a de Polignac number, because 344103021405 - 22 = 344103021401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344103021401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211975 + ... + 856235.

It is an arithmetic number, because the mean of its divisors is an integer number (7387108092).

Almost surely, 2344103021405 is an apocalyptic number.

It is an amenable number.

344103021405 is an abundant number, since it is smaller than the sum of its proper divisors (365059355427).

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

344103021405 is a wasteful number, since it uses less digits than its factorization.

344103021405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644379 (or 644376 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 344103021405 its reverse (504120301443), we get a palindrome (848223322848).

The spelling of 344103021405 in words is "three hundred forty-four billion, one hundred three million, twenty-one thousand, four hundred five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 83 99 117 143 165 195 249 415 429 495 585 715 747 913 1079 1245 1287 2145 2739 3237 3735 4565 5395 6435 8217 9711 11869 13695 16185 35607 41085 48555 59345 106821 178035 534105 644261 1932783 3221305 5798349 7086871 8375393 9663915 21260613 25126179 28991745 35434355 41876965 53473663 63781839 75378537 92129323 106303065 125630895 160420989 267368315 276387969 318909195 376892685 460646615 481262967 588210293 695157619 802104945 829163907 1381939845 1764630879 2085472857 2406314835 2941051465 3475788095 4145819535 5293892637 6256418571 7646733809 8823154395 10427364285 22940201427 26469463185 31282092855 38233669045 68820604281 114701007135 344103021405