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340207214022 = 23413213199421
BaseRepresentation
bin1001111001101011110…
…11100001110111000110
31012112010121220010110000
410330311323201313012
521033221021322042
6420142233142130
733402436414554
oct4746573416706
91175117803400
10340207214022
111213101152a5
1255b2685a946
1326109ac2c00
141267504cbd4
158cb247774c
hex4f35ee1dc6

340207214022 has 120 divisors (see below), whose sum is σ = 826180130160. Its totient is φ = 104588677440.

The previous prime is 340207213999. The next prime is 340207214041. The reversal of 340207214022 is 220412702043.

340207214022 is a `hidden beast` number, since 34 + 0 + 207 + 21 + 402 + 2 = 666.

It is a super-2 number, since 2×3402072140222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 36106872 + ... + 36116292.

It is an arithmetic number, because the mean of its divisors is an integer number (6884834418).

Almost surely, 2340207214022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340207214022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413090065080).

340207214022 is an abundant number, since it is smaller than the sum of its proper divisors (485972916138).

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

340207214022 is a wasteful number, since it uses less digits than its factorization.

340207214022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780 (or 10758 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 340207214022 its reverse (220412702043), we get a palindrome (560619916065).

The spelling of 340207214022 in words is "three hundred forty billion, two hundred seven million, two hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1319 1521 2106 2638 3042 3957 4563 7914 9126 9421 11871 13689 17147 18842 23742 27378 28263 34294 35613 51441 56526 71226 84789 102882 106839 122473 154323 169578 213678 222911 244946 254367 308646 367419 445822 462969 508734 668733 734838 763101 925938 1102257 1337466 1388907 1526202 1592149 2006199 2204514 2777814 3184298 3306771 4012398 4776447 6018597 6613542 9552894 9920313 12037194 12426299 14329341 18055791 19840626 24852598 28658682 36111582 37278897 42988023 74557794 85976046 111836691 128964069 161541887 223673382 257928138 323083774 335510073 484625661 671020146 969251322 1006530219 1453876983 2013060438 2100044531 2907753966 4200089062 4361630949 6300133593 8723261898 12600267186 13084892847 18900400779 26169785694 37800801558 56701202337 113402404674 170103607011 340207214022