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3340424000 = 2653417553
BaseRepresentation
bin1100011100011010…
…1101001101000000
322121210121010021102
43013012231031000
523320122032000
61311244513532
7145531064324
oct30706551500
98553533242
103340424000
111464644aa1
1279284b8a8
13413096b64
142398dd984
151483da3d5
hexc71ad340

3340424000 has 56 divisors (see below), whose sum is σ = 8272579848. Its totient is φ = 1336166400.

The previous prime is 3340423987. The next prime is 3340424011. The reversal of 3340424000 is 4240433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49336576 + 3291087424 = 7024^2 + 57368^2 .

It is a super-2 number, since 2×33404240002 = 22316864999552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200777 + ... + 216776.

Almost surely, 23340424000 is an apocalyptic number.

It is an amenable number.

3340424000 is an abundant number, since it is smaller than the sum of its proper divisors (4932155848).

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

3340424000 is an equidigital number, since it uses as much as digits as its factorization.

3340424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417580 (or 417560 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3340424000 is about 57796.4012720515. The cubic root of 3340424000 is about 1494.8600369337.

Adding to 3340424000 its reverse (4240433), we get a palindrome (3344664433).

The spelling of 3340424000 in words is "three billion, three hundred forty million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 417553 835106 1670212 2087765 3340424 4175530 6680848 8351060 10438825 13361696 16702120 20877650 26723392 33404240 41755300 52194125 66808480 83510600 104388250 133616960 167021200 208776500 334042400 417553000 668084800 835106000 1670212000 3340424000