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34331313540 = 2235572188559
BaseRepresentation
bin11111111110010011…
…100100010110000100
310021121121102102120010
4133332103210112010
51030302304013130
623434355110220
72323522231056
oct377623442604
9107547372503
1034331313540
1113618149aa7
1267a15a2370
133311829414
1419397a38d6
15d5dee60b0
hex7fe4e4584

34331313540 has 24 divisors (see below), whose sum is σ = 96127678080. Its totient is φ = 9155016928.

The previous prime is 34331313521. The next prime is 34331313553. The reversal of 34331313540 is 4531313343.

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 = 34331313498 and 34331313507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286094220 + ... + 286094339.

It is an arithmetic number, because the mean of its divisors is an integer number (4005319920).

Almost surely, 234331313540 is an apocalyptic number.

34331313540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34331313540 is an abundant number, since it is smaller than the sum of its proper divisors (61796364540).

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

34331313540 is a wasteful number, since it uses less digits than its factorization.

34331313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572188571 (or 572188569 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 34331313540 its reverse (4531313343), we get a palindrome (38862626883).

The spelling of 34331313540 in words is "thirty-four billion, three hundred thirty-one million, three hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 572188559 1144377118 1716565677 2288754236 2860942795 3433131354 5721885590 6866262708 8582828385 11443771180 17165656770 34331313540