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2343468336 = 243117196173
BaseRepresentation
bin1000101110101110…
…0111110100110000
320001022122112012120
42023223213310300
514244411441321
61024312354240
7112034103126
oct21353476460
96038575176
102343468336
11aa29104a0
125549a5980
132b4684571
14183345916
15dab0aec6
hex8bae7d30

2343468336 has 80 divisors (see below), whose sum is σ = 6614576640. Its totient is φ = 709039360.

The previous prime is 2343468319. The next prime is 2343468383. The reversal of 2343468336 is 6338643432.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376546 + ... + 382718.

It is an arithmetic number, because the mean of its divisors is an integer number (82682208).

Almost surely, 22343468336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343468336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307288320).

2343468336 is an abundant number, since it is smaller than the sum of its proper divisors (4271108304).

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

2343468336 is a wasteful number, since it uses less digits than its factorization.

2343468336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914 (or 6908 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The square root of 2343468336 is about 48409.3827269053. The cubic root of 2343468336 is about 1328.2699982064.

The spelling of 2343468336 in words is "two billion, three hundred forty-three million, four hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 719 1438 2157 2876 4314 5752 6173 7909 8628 11504 12346 15818 17256 18519 23727 24692 31636 34512 37038 47454 49384 63272 67903 74076 94908 98768 126544 135806 148152 189816 203709 271612 296304 379632 407418 543224 814836 1086448 1629672 3259344 4438387 8876774 13315161 17753548 26630322 35507096 48822257 53260644 71014192 97644514 106521288 146466771 195289028 213042576 292933542 390578056 585867084 781156112 1171734168 2343468336