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2420340100 = 225243355897
BaseRepresentation
bin1001000001000011…
…0111010110000100
320020200022000102221
42100100313112010
514424101340400
61040100142124
7113656360063
oct22020672604
96220260387
102420340100
111032245382
12576697944
132c758ab09
1418d6361da
15e2742c1a
hex90437584

2420340100 has 36 divisors (see below), whose sum is σ = 5264361844. Its totient is φ = 965882880.

The previous prime is 2420340077. The next prime is 2420340121. The reversal of 2420340100 is 10430242.

It can be written as a sum of positive squares in 6 ways, for example, as 260693316 + 2159646784 = 16146^2 + 46472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15352 + ... + 71248.

Almost surely, 22420340100 is an apocalyptic number.

2420340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420340100 is an abundant number, since it is smaller than the sum of its proper divisors (2844021744).

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

2420340100 is a wasteful number, since it uses less digits than its factorization.

2420340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56344 (or 56337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2420340100 is about 49196.9521413675. The cubic root of 2420340100 is about 1342.6375798627.

Adding to 2420340100 its reverse (10430242), we get a palindrome (2430770342).

The spelling of 2420340100 in words is "two billion, four hundred twenty million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 433 866 1732 2165 4330 8660 10825 21650 43300 55897 111794 223588 279485 558970 1117940 1397425 2794850 5589700 24203401 48406802 96813604 121017005 242034010 484068020 605085025 1210170050 2420340100