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2413402240 = 2753770941
BaseRepresentation
bin1000111111011001…
…1001100010000000
320020012020112111011
42033312121202000
514420312332430
61035251330304
7113543403064
oct21766314200
96205215434
102413402240
111029336907
125742b0994
132c5ccbc82
1418c74baa4
15e1d2222a
hex8fd99880

2413402240 has 32 divisors (see below), whose sum is σ = 5769541260. Its totient is φ = 965360640.

The previous prime is 2413402217. The next prime is 2413402279. The reversal of 2413402240 is 422043142.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2116736064 + 296666176 = 46008^2 + 17224^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1884831 + ... + 1886110.

Almost surely, 22413402240 is an apocalyptic number.

2413402240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413402240 is an abundant number, since it is smaller than the sum of its proper divisors (3356139020).

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

2413402240 is an equidigital number, since it uses as much as digits as its factorization.

2413402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770960 (or 3770948 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2413402240 is about 49126.3904637823. The cubic root of 2413402240 is about 1341.3534702154.

Adding to 2413402240 its reverse (422043142), we get a palindrome (2835445382).

The spelling of 2413402240 in words is "two billion, four hundred thirteen million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3770941 7541882 15083764 18854705 30167528 37709410 60335056 75418820 120670112 150837640 241340224 301675280 482680448 603350560 1206701120 2413402240