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3024316040 = 235292607169
BaseRepresentation
bin1011010001000011…
…0110011010001000
321210202210011200012
42310100312122020
522143211103130
61220033331052
7134642155634
oct26420663210
97722704605
103024316040
111312169449
12704a06a88
13392749325
14209935dc4
1512a798995
hexb4436688

3024316040 has 32 divisors (see below), whose sum is σ = 7039359000. Its totient is φ = 1168011264.

The previous prime is 3024315979. The next prime is 3024316049. The reversal of 3024316040 is 406134203.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2074073764 + 950242276 = 45542^2 + 30826^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3024315997 and 3024316015.

It is not an unprimeable number, because it can be changed into a prime (3024316049) by changing a digit.

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, 1302425 + ... + 1304744.

Almost surely, 23024316040 is an apocalyptic number.

It is an amenable number.

3024316040 is an abundant number, since it is smaller than the sum of its proper divisors (4015042960).

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

3024316040 is a wasteful number, since it uses less digits than its factorization.

3024316040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607209 (or 2607205 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3024316040 is about 54993.7818303124. The cubic root of 3024316040 is about 1446.1357338244.

The spelling of 3024316040 in words is "three billion, twenty-four million, three hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2607169 5214338 10428676 13035845 20857352 26071690 52143380 75607901 104286760 151215802 302431604 378039505 604863208 756079010 1512158020 3024316040