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2112430344 = 233378328661
BaseRepresentation
bin111110111101001…
…0010000100001000
312110012220120122220
41331322102010020
513311240232334
6545340414040
7103230235023
oct17572220410
95405816586
102112430344
11994459202
124ab547320
132788509ab
141607a41ba
15c56c0449
hex7de92108

2112430344 has 64 divisors (see below), whose sum is σ = 5489346240. Its totient is φ = 676834560.

The previous prime is 2112430301. The next prime is 2112430349. The reversal of 2112430344 is 4430342112.

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

It is not an unprimeable number, because it can be changed into a prime (2112430349) 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, 59374 + ... + 88034.

It is an arithmetic number, because the mean of its divisors is an integer number (85771035).

Almost surely, 22112430344 is an apocalyptic number.

2112430344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112430344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744673120).

2112430344 is an abundant number, since it is smaller than the sum of its proper divisors (3376915896).

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

2112430344 is a wasteful number, since it uses less digits than its factorization.

2112430344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28790 (or 28786 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2112430344 is about 45961.1830134952. The cubic root of 2112430344 is about 1283.1008689561.

Adding to 2112430344 its reverse (4430342112), we get a palindrome (6542772456).

The spelling of 2112430344 in words is "two billion, one hundred twelve million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 83 111 148 166 222 249 296 332 444 498 664 888 996 1992 3071 6142 9213 12284 18426 24568 28661 36852 57322 73704 85983 114644 171966 229288 343932 687864 1060457 2120914 2378863 3181371 4241828 4757726 6362742 7136589 8483656 9515452 12725484 14273178 19030904 25450968 28546356 57092712 88017931 176035862 264053793 352071724 528107586 704143448 1056215172 2112430344