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2114342406 = 2331119318443
BaseRepresentation
bin111111000000110…
…0100111000000110
312110100111201112000
41332001210320012
513312232424111
6545445410130
7103252420401
oct17601447006
95410451460
102114342406
11995544820
124b0109946
132790700a7
14160b40d38
15c594bc56
hex7e064e06

2114342406 has 64 divisors (see below), whose sum is σ = 5152515840. Its totient is φ = 637355520.

The previous prime is 2114342369. The next prime is 2114342429. The reversal of 2114342406 is 6042434112.

It is a happy number.

2114342406 is a `hidden beast` number, since 211 + 4 + 3 + 42 + 406 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2114342406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105421 + ... + 123863.

It is an arithmetic number, because the mean of its divisors is an integer number (80508060).

Almost surely, 22114342406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114342406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576257920).

2114342406 is an abundant number, since it is smaller than the sum of its proper divisors (3038173434).

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

2114342406 is a wasteful number, since it uses less digits than its factorization.

2114342406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18658 (or 18652 counting only the distinct ones).

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

The square root of 2114342406 is about 45981.9791440081. The cubic root of 2114342406 is about 1283.4878842522.

Adding to 2114342406 its reverse (6042434112), we get a palindrome (8156776518).

The spelling of 2114342406 in words is "two billion, one hundred fourteen million, three hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 193 198 297 386 579 594 1158 1737 2123 3474 4246 5211 6369 10422 12738 18443 19107 36886 38214 55329 57321 110658 114642 165987 202873 331974 405746 497961 608619 995922 1217238 1825857 3559499 3651714 5477571 7118998 10678497 10955142 21356994 32035491 39154489 64070982 78308978 96106473 117463467 192212946 234926934 352390401 704780802 1057171203 2114342406