Search a number
-
+
2364106014 = 234231095821
BaseRepresentation
bin1000110011101001…
…0110010100011110
320002202111000210000
42030322112110132
514320202343024
61030330555130
7112404366234
oct21472262436
96082430700
102364106014
111003526926
1255b898aa6
132b8a2bcca
14185d98954
15dc835cc9
hex8ce9651e

2364106014 has 80 divisors (see below), whose sum is σ = 5579339040. Its totient is φ = 746729280.

The previous prime is 2364106007. The next prime is 2364106033. The reversal of 2364106014 is 4106014632.

2364106014 is a `hidden beast` number, since 2 + 3 + 641 + 0 + 6 + 0 + 14 = 666.

2364106014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403224 + ... + 409044.

It is an arithmetic number, because the mean of its divisors is an integer number (69741738).

Almost surely, 22364106014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2364106014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789669520).

2364106014 is an abundant number, since it is smaller than the sum of its proper divisors (3215233026).

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

2364106014 is a wasteful number, since it uses less digits than its factorization.

2364106014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2364106014 is about 48622.0733206637. The cubic root of 2364106014 is about 1332.1577302866.

The spelling of 2364106014 in words is "two billion, three hundred sixty-four million, one hundred six thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 109 138 162 207 218 327 414 621 654 981 1242 1863 1962 2507 2943 3726 5014 5821 5886 7521 8829 11642 15042 17463 17658 22563 34926 45126 52389 67689 104778 133883 135378 157167 203067 267766 314334 401649 406134 471501 634489 803298 943002 1204947 1268978 1903467 2409894 3614841 3806934 5710401 7229682 10844523 11420802 14593247 17131203 21689046 29186494 34262406 43779741 51393609 87559482 102787218 131339223 262678446 394017669 788035338 1182053007 2364106014