Search a number
-
+
2321434320 = 243517568979
BaseRepresentation
bin1000101001011110…
…0100011011010000
312222210012002012220
42022113210123100
514223241344240
61022204221040
7111345603042
oct21227443320
95883162186
102321434320
11a91430a67
1254953a780
132acc3b39a
1418044ba92
15d8c075d0
hex8a5e46d0

2321434320 has 80 divisors (see below), whose sum is σ = 7619780160. Its totient is φ = 582633472.

The previous prime is 2321434319. The next prime is 2321434333. The reversal of 2321434320 is 234341232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280410 + ... + 288569.

It is an arithmetic number, because the mean of its divisors is an integer number (95247252).

Almost surely, 22321434320 is an apocalyptic number.

2321434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2321434320 is an abundant number, since it is smaller than the sum of its proper divisors (5298345840).

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

2321434320 is a wasteful number, since it uses less digits than its factorization.

2321434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569012 (or 569006 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2321434320 is about 48181.2652386797. The cubic root of 2321434320 is about 1324.0939470824.

Adding to 2321434320 its reverse (234341232), we get a palindrome (2555775552).

The spelling of 2321434320 in words is "two billion, three hundred twenty-one million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 568979 1137958 1706937 2275916 2844895 3413874 4551832 5689790 6827748 8534685 9103664 9672643 11379580 13655496 17069370 19345286 22759160 27310992 29017929 34138740 38690572 45518320 48363215 58035858 68277480 77381144 96726430 116071716 136554960 145089645 154762288 193452860 232143432 290179290 386905720 464286864 580358580 773811440 1160717160 2321434320