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2114368326 = 233725315077
BaseRepresentation
bin111111000000110…
…1011001101000110
312110100120001002000
41332001223031012
513312234241301
6545450130130
7103252556100
oct17601531506
95410501060
102114368326
11995562244
124b0120946
1327907bb25
14160b4a570
15c5954786
hex7e06b346

2114368326 has 96 divisors (see below), whose sum is σ = 5569210080. Its totient is φ = 592667712.

The previous prime is 2114368307. The next prime is 2114368327. The reversal of 2114368326 is 6238634112.

2114368326 is a `hidden beast` number, since 211 + 436 + 8 + 3 + 2 + 6 = 666.

2114368326 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114368327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132700 + ... + 147776.

It is an arithmetic number, because the mean of its divisors is an integer number (58012605).

Almost surely, 22114368326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114368326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784605040).

2114368326 is an abundant number, since it is smaller than the sum of its proper divisors (3454841754).

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

2114368326 is a wasteful number, since it uses less digits than its factorization.

2114368326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15155 (or 15142 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2114368326 is about 45982.2609926915. The cubic root of 2114368326 is about 1283.4931290460.

The spelling of 2114368326 in words is "two billion, one hundred fourteen million, three hundred sixty-eight thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 53 54 63 98 106 126 147 159 189 294 318 371 378 441 477 742 882 954 1113 1323 1431 2226 2597 2646 2862 3339 5194 6678 7791 10017 15077 15582 20034 23373 30154 45231 46746 70119 90462 105539 135693 140238 211078 271386 316617 407079 633234 738773 799081 814158 949851 1477546 1598162 1899702 2216319 2397243 2849553 4432638 4794486 5593567 5699106 6648957 7191729 11187134 13297914 14383458 16780701 19946871 21575187 33561402 39154969 39893742 43150374 50342103 78309938 100684206 117464907 151026309 234929814 302052618 352394721 704789442 1057184163 2114368326