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2342124200 = 235213900817
BaseRepresentation
bin1000101110011001…
…1111101010101000
320001020010020101202
42023212133222220
514244040433300
61024223503332
7112016504303
oct21346375250
96036106352
102342124200
11aa2082639
12554457b48
132b4303810
141830b5b3a
15da942ad5
hex8b99faa8

2342124200 has 48 divisors (see below), whose sum is σ = 5864325180. Its totient is φ = 864783360.

The previous prime is 2342124199. The next prime is 2342124209. The reversal of 2342124200 is 24212432.

It can be written as a sum of positive squares in 6 ways, for example, as 234028804 + 2108095396 = 15298^2 + 45914^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2342124209) 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 11 ways as a sum of consecutive naturals, for example, 447809 + ... + 453008.

Almost surely, 22342124200 is an apocalyptic number.

2342124200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2342124200 is an abundant number, since it is smaller than the sum of its proper divisors (3522200980).

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

2342124200 is a wasteful number, since it uses less digits than its factorization.

2342124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900846 (or 900837 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2342124200 is about 48395.4977244785. The cubic root of 2342124200 is about 1328.0159990452.

Adding to 2342124200 its reverse (24212432), we get a palindrome (2366336632).

The spelling of 2342124200 in words is "two billion, three hundred forty-two million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 900817 1801634 3603268 4504085 7206536 9008170 11710621 18016340 22520425 23421242 36032680 45040850 46842484 58553105 90081700 93684968 117106210 180163400 234212420 292765525 468424840 585531050 1171062100 2342124200