Search a number
-
+
2344211320 = 2351131171863
BaseRepresentation
bin1000101110111001…
…1101001101111000
320001101001021101111
42023232131031320
514300104230240
61024340330104
7112043316223
oct21356351570
96041037344
102344211320
11aa3278730
125550a3934
132b48847b9
1418349a5ba
15dac061ea
hex8bb9d378

2344211320 has 64 divisors (see below), whose sum is σ = 5939619840. Its totient is φ = 824937600.

The previous prime is 2344211297. The next prime is 2344211323. The reversal of 2344211320 is 231124432.

It is a super-2 number, since 2×23442113202 = 10990653425632284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2344211291 and 2344211300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344211323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72292 + ... + 99571.

It is an arithmetic number, because the mean of its divisors is an integer number (92806560).

Almost surely, 22344211320 is an apocalyptic number.

2344211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2344211320 is an abundant number, since it is smaller than the sum of its proper divisors (3595408520).

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

2344211320 is a wasteful number, since it uses less digits than its factorization.

2344211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171916 (or 171912 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2344211320 is about 48417.0560856399. The cubic root of 2344211320 is about 1328.4103569878.

Adding to 2344211320 its reverse (231124432), we get a palindrome (2575335752).

The spelling of 2344211320 in words is "two billion, three hundred forty-four million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 171863 343726 687452 859315 1374904 1718630 1890493 3437260 3780986 5327753 6874520 7561972 9452465 10655506 15123944 18904930 21311012 26638765 37809860 42622024 53277530 58605283 75619720 106555060 117210566 213110120 234421132 293026415 468842264 586052830 1172105660 2344211320