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3233838336 = 28313930293
BaseRepresentation
bin1100000011000000…
…0111010100000000
322100101001000020020
43000300013110000
523110330311321
61252520213440
7143065113051
oct30060072400
98311030206
103233838336
11140a465673
1276300a280
133c6c88911
142296b6728
1513dd844c6
hexc0c07500

3233838336 has 72 divisors (see below), whose sum is σ = 8668931040. Its totient is φ = 1070155776.

The previous prime is 3233838319. The next prime is 3233838347. The reversal of 3233838336 is 6338383323.

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

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, 91606 + ... + 121898.

It is an arithmetic number, because the mean of its divisors is an integer number (120401820).

Almost surely, 23233838336 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 3233838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334465520).

3233838336 is an abundant number, since it is smaller than the sum of its proper divisors (5435092704).

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

3233838336 is a wasteful number, since it uses less digits than its factorization.

3233838336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30451 (or 30437 counting only the distinct ones).

The product of its digits is 559872, while the sum is 42.

The square root of 3233838336 is about 56866.8474244880. The cubic root of 3233838336 is about 1478.7886264924.

The spelling of 3233838336 in words is "three billion, two hundred thirty-three million, eight hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 768 834 1112 1668 2224 3336 4448 6672 8896 13344 17792 26688 30293 35584 53376 60586 90879 106752 121172 181758 242344 363516 484688 727032 969376 1454064 1938752 2908128 3877504 4210727 5816256 7755008 8421454 11632512 12632181 16842908 23265024 25264362 33685816 50528724 67371632 101057448 134743264 202114896 269486528 404229792 538973056 808459584 1077946112 1616919168 3233838336