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2343102420 = 22351912791607
BaseRepresentation
bin1000101110101000…
…1110011111010100
320001021221221021010
42023222032133110
514244313234140
61024300452220
7112031020251
oct21352163724
96037857233
102343102420
11aa269058a
1255484a070
132b4586b49
1418328c428
15daa87880
hex8ba8e7d4

2343102420 has 96 divisors (see below), whose sum is σ = 6915686400. Its totient is φ = 591110784.

The previous prime is 2343102413. The next prime is 2343102427. The reversal of 2343102420 is 242013432.

It is an interprime number because it is at equal distance from previous prime (2343102413) and next prime (2343102427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343102427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1457257 + ... + 1458863.

It is an arithmetic number, because the mean of its divisors is an integer number (72038400).

Almost surely, 22343102420 is an apocalyptic number.

2343102420 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 2343102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457843200).

2343102420 is an abundant number, since it is smaller than the sum of its proper divisors (4572583980).

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

2343102420 is a wasteful number, since it uses less digits than its factorization.

2343102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2343102420 is about 48405.6031880608. The cubic root of 2343102420 is about 1328.2008612871.

Adding to 2343102420 its reverse (242013432), we get a palindrome (2585115852).

The spelling of 2343102420 in words is "two billion, three hundred forty-three million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1279 1607 2558 3214 3837 4821 5116 6395 6428 7674 8035 9642 12790 15348 16070 19185 19284 24105 24301 25580 30533 32140 38370 48210 48602 61066 72903 76740 91599 96420 97204 121505 122132 145806 152665 183198 243010 291612 305330 364515 366396 457995 486020 610660 729030 915990 1458060 1831980 2055353 4110706 6166059 8221412 10276765 12332118 20553530 24664236 30830295 39051707 41107060 61660590 78103414 117155121 123321180 156206828 195258535 234310242 390517070 468620484 585775605 781034140 1171551210 2343102420