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2333424340 = 2251312770667
BaseRepresentation
bin1000101100010101…
…0011101011010100
320000121202020102201
42023011103223110
514234324034330
61023313214244
7111552531262
oct21305235324
96017666381
102333424340
11a98180275
12551561384
132b2578980
14181c8d432
15d9cc4eca
hex8b153ad4

2333424340 has 48 divisors (see below), whose sum is σ = 5318756352. Its totient is φ = 854775936.

The previous prime is 2333424329. The next prime is 2333424377. The reversal of 2333424340 is 434243332.

It is a junction number, because it is equal to n+sod(n) for n = 2333424299 and 2333424308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314 + ... + 68353.

It is an arithmetic number, because the mean of its divisors is an integer number (110807424).

Almost surely, 22333424340 is an apocalyptic number.

2333424340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2333424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659378176).

2333424340 is an abundant number, since it is smaller than the sum of its proper divisors (2985332012).

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

2333424340 is a wasteful number, since it uses less digits than its factorization.

2333424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70816 (or 70814 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

The square root of 2333424340 is about 48305.5311532748. The cubic root of 2333424340 is about 1326.3696462524.

Adding to 2333424340 its reverse (434243332), we get a palindrome (2767667672).

It can be divided in two parts, 23334 and 24340, that added together give a palindrome (47674).

The spelling of 2333424340 in words is "two billion, three hundred thirty-three million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 3302 6604 8255 16510 33020 70667 141334 282668 353335 706670 918671 1413340 1837342 3674684 4593355 8974709 9186710 17949418 18373420 35898836 44873545 89747090 116671217 179494180 233342434 466684868 583356085 1166712170 2333424340