Search a number
-
+
2314200834 = 2331110913571
BaseRepresentation
bin1000100111101111…
…1110011100000010
312222021120120202000
42021323332130002
514214413411314
61021345204430
7111230245131
oct21173763402
95867516660
102314200834
11a88340380
12547030716
132ab5a7b0a
1417d4c7918
15d8279209
hex89efe702

2314200834 has 64 divisors (see below), whose sum is σ = 5616898560. Its totient is φ = 700434000.

The previous prime is 2314200829. The next prime is 2314200839. The reversal of 2314200834 is 4380024132.

2314200834 is a `hidden beast` number, since 231 + 420 + 0 + 8 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2314200829) and next prime (2314200839).

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

It is a junction number, because it is equal to n+sod(n) for n = 2314200798 and 2314200807.

It is not an unprimeable number, because it can be changed into a prime (2314200839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646269 + ... + 649839.

It is an arithmetic number, because the mean of its divisors is an integer number (87764040).

Almost surely, 22314200834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314200834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808449280).

2314200834 is an abundant number, since it is smaller than the sum of its proper divisors (3302697726).

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

2314200834 is a wasteful number, since it uses less digits than its factorization.

2314200834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4678 counting only the distinct ones).

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

The square root of 2314200834 is about 48106.1413335137. The cubic root of 2314200834 is about 1322.7172435766.

Adding to 2314200834 its reverse (4380024132), we get a palindrome (6694224966).

The spelling of 2314200834 in words is "two billion, three hundred fourteen million, two hundred thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1091 2182 3273 3571 6546 7142 9819 10713 12001 19638 21426 24002 29457 32139 36003 39281 58914 64278 72006 78562 96417 108009 117843 192834 216018 235686 324027 353529 648054 707058 1060587 2121174 3895961 7791922 11687883 23375766 35063649 42855571 70127298 85711142 105190947 128566713 210381894 257133426 385700139 771400278 1157100417 2314200834