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2424434340 = 223540407239
BaseRepresentation
bin1001000010000001…
…1110111010100100
320020222000000200110
42100200132322210
514431123344330
61040324013020
7114036231456
oct22040367244
96228000613
102424434340
111034591449
12577b31170
132c8392543
1418ddc02d6
15e2ca0db0
hex9081eea4

2424434340 has 24 divisors (see below), whose sum is σ = 6788416320. Its totient is φ = 646515808.

The previous prime is 2424434339. The next prime is 2424434359. The reversal of 2424434340 is 434344242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2424434298 and 2424434307.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20203560 + ... + 20203679.

It is an arithmetic number, because the mean of its divisors is an integer number (282850680).

Almost surely, 22424434340 is an apocalyptic number.

2424434340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424434340 is an abundant number, since it is smaller than the sum of its proper divisors (4363981980).

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

2424434340 is a wasteful number, since it uses less digits than its factorization.

2424434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40407251 (or 40407249 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 2424434340 is about 49238.5452668943. The cubic root of 2424434340 is about 1343.3942206036.

Adding to 2424434340 its reverse (434344242), we get a palindrome (2858778582).

The spelling of 2424434340 in words is "two billion, four hundred twenty-four million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 40407239 80814478 121221717 161628956 202036195 242443434 404072390 484886868 606108585 808144780 1212217170 2424434340