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2343312224 = 251115144087
BaseRepresentation
bin1000101110101100…
…0001101101100000
320001022100121001122
42023223001231200
514244341442344
61024305151412
7112032553031
oct21353015540
96038317048
102343312224
11aa2814180
1255492b568
132b462b4a6
14183304a88
15daac9aee
hex8bac1b60

2343312224 has 48 divisors (see below), whose sum is σ = 5066240256. Its totient is φ = 1058064000.

The previous prime is 2343312217. The next prime is 2343312241. The reversal of 2343312224 is 4222133432.

It is a super-2 number, since 2×23433122242 = 10982224358295652352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2343312193 and 2343312202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31109 + ... + 75195.

It is an arithmetic number, because the mean of its divisors is an integer number (105546672).

Almost surely, 22343312224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533120128).

2343312224 is an abundant number, since it is smaller than the sum of its proper divisors (2722928032).

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

2343312224 is a wasteful number, since it uses less digits than its factorization.

2343312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44259 (or 44251 counting only the distinct ones).

The product of its digits is 6912, while the sum is 26.

The square root of 2343312224 is about 48407.7702853581. The cubic root of 2343312224 is about 1328.2405029653.

Adding to 2343312224 its reverse (4222133432), we get a palindrome (6565445656).

The spelling of 2343312224 in words is "two billion, three hundred forty-three million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 151 176 302 352 604 1208 1661 2416 3322 4832 6644 13288 26576 44087 53152 88174 176348 352696 484957 705392 969914 1410784 1939828 3879656 6657137 7759312 13314274 15518624 26628548 53257096 73228507 106514192 146457014 213028384 292914028 585828056 1171656112 2343312224