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2343223432 = 2311291019091
BaseRepresentation
bin1000101110101010…
…1100000010001000
320001022012002021001
42023222230002020
514244331122212
61024303224344
7112032033124
oct21352540210
96038162231
102343223432
11aa27634a0
125548a80b4
132b45c9c54
141832c0584
15daaad657
hex8baac088

2343223432 has 64 divisors (see below), whose sum is σ = 5007873600. Its totient is φ = 1018080000.

The previous prime is 2343223429. The next prime is 2343223433.

2343223432 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2343223432.

It is not an unprimeable number, because it can be changed into a prime (2343223433) 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, 253207 + ... + 262297.

It is an arithmetic number, because the mean of its divisors is an integer number (78248025).

Almost surely, 22343223432 is an apocalyptic number.

2343223432 is a gapful number since it is divisible by the number (22) 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 2343223432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503936800).

2343223432 is an abundant number, since it is smaller than the sum of its proper divisors (2664650168).

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

2343223432 is a wasteful number, since it uses less digits than its factorization.

2343223432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9238 (or 9234 counting only the distinct ones).

The product of its digits is 20736, while the sum is 28.

The square root of 2343223432 is about 48406.8531511810. The cubic root of 2343223432 is about 1328.2237263390.

It can be divided in two parts, 23432 and 23432, that added together give a palindrome (46864).

The spelling of 2343223432 in words is "two billion, three hundred forty-three million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 101 116 202 232 319 404 638 808 1111 1276 2222 2552 2929 4444 5858 8888 9091 11716 18182 23432 32219 36364 64438 72728 100001 128876 200002 257752 263639 400004 527278 800008 918191 1054556 1836382 2109112 2900029 3672764 5800058 7345528 10100101 11600116 20200202 23200232 26627539 40400404 53255078 80800808 106510156 213020312 292902929 585805858 1171611716 2343223432