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2422304340 = 2235233315303
BaseRepresentation
bin1001000001100001…
…0110111001010100
320020210222210212120
42100120112321110
514430102214330
61040210215540
7114012150531
oct22030267124
96223883776
102422304340
111033367115
125772845b0
132c7ac7ba1
1418d9c7d88
15e29cec10
hex90616e54

2422304340 has 96 divisors (see below), whose sum is σ = 7100061696. Its totient is φ = 615880320.

The previous prime is 2422304333. The next prime is 2422304341. The reversal of 2422304340 is 434032242.

It is a self number, because there is not a number n which added to its sum of digits gives 2422304340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422304341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454129 + ... + 459431.

It is an arithmetic number, because the mean of its divisors is an integer number (73958976).

Almost surely, 22422304340 is an apocalyptic number.

2422304340 is a gapful number since it is divisible by the number (20) 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 2422304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550030848).

2422304340 is an abundant number, since it is smaller than the sum of its proper divisors (4677757356).

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

2422304340 is a wasteful number, since it uses less digits than its factorization.

2422304340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2422304340 is about 49216.9111180293. The cubic root of 2422304340 is about 1343.0006898974. Note that the first 3 decimals are identical.

Adding to 2422304340 its reverse (434032242), we get a palindrome (2856336582).

The spelling of 2422304340 in words is "two billion, four hundred twenty-two million, three hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 331 345 460 662 690 993 1324 1380 1655 1986 3310 3972 4965 5303 6620 7613 9930 10606 15226 15909 19860 21212 22839 26515 30452 31818 38065 45678 53030 63636 76130 79545 91356 106060 114195 121969 152260 159090 228390 243938 318180 365907 456780 487876 609845 731814 1219690 1463628 1755293 1829535 2439380 3510586 3659070 5265879 7021172 7318140 8776465 10531758 17552930 21063516 26329395 35105860 40371739 52658790 80743478 105317580 121115217 161486956 201858695 242230434 403717390 484460868 605576085 807434780 1211152170 2422304340