Search a number
-
+
2320404320 = 255131115579
BaseRepresentation
bin1000101001001110…
…1000111101100000
312222201020202022202
42022103220331200
514223010414240
61022130152332
7111334053113
oct21223507540
95881222282
102320404320
11a90898123
125491226a8
132ac96a610
1418026057a
15d8aa2315
hex8a4e8f60

2320404320 has 48 divisors (see below), whose sum is σ = 5903649360. Its totient is φ = 856763904.

The previous prime is 2320404293. The next prime is 2320404329. The reversal of 2320404320 is 234040232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2320404292 and 2320404301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320404329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555710 + ... + 559869.

It is an arithmetic number, because the mean of its divisors is an integer number (122992695).

Almost surely, 22320404320 is an apocalyptic number.

2320404320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2320404320 is an abundant number, since it is smaller than the sum of its proper divisors (3583245040).

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

2320404320 is a wasteful number, since it uses less digits than its factorization.

2320404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115607 (or 1115599 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2320404320 is about 48170.5752508728. The cubic root of 2320404320 is about 1323.8980884979.

Adding to 2320404320 its reverse (234040232), we get a palindrome (2554444552).

The spelling of 2320404320 in words is "two billion, three hundred twenty million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 1115579 2231158 4462316 5577895 8924632 11155790 14502527 17849264 22311580 29005054 35698528 44623160 58010108 72512635 89246320 116020216 145025270 178492640 232040432 290050540 464080864 580101080 1160202160 2320404320