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3303590112 = 253216370373
BaseRepresentation
bin1100010011101000…
…1100100011100000
322112020021202200100
43010322030203200
523231204340422
61303451222400
7144603024024
oct30472144340
98466252610
103303590112
111445877169
12782447a00
1340856b464
14234a72384
151450617ac
hexc4e8c8e0

3303590112 has 72 divisors (see below), whose sum is σ = 9452354184. Its totient is φ = 1094425344.

The previous prime is 3303590089. The next prime is 3303590131. The reversal of 3303590112 is 2110953033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11758 + ... + 82130.

It is an arithmetic number, because the mean of its divisors is an integer number (131282697).

Almost surely, 23303590112 is an apocalyptic number.

3303590112 is a gapful number since it is divisible by the number (32) 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 3303590112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726177092).

3303590112 is an abundant number, since it is smaller than the sum of its proper divisors (6148764072).

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

3303590112 is a wasteful number, since it uses less digits than its factorization.

3303590112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70552 (or 70541 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 3303590112 is about 57476.8658853282. The cubic root of 3303590112 is about 1489.3452541217.

The spelling of 3303590112 in words is "three billion, three hundred three million, five hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 652 978 1304 1467 1956 2608 2934 3912 5216 5868 7824 11736 15648 23472 46944 70373 140746 211119 281492 422238 562984 633357 844476 1125968 1266714 1688952 2251936 2533428 3377904 5066856 6755808 10133712 11470799 20267424 22941598 34412397 45883196 68824794 91766392 103237191 137649588 183532784 206474382 275299176 367065568 412948764 550598352 825897528 1101196704 1651795056 3303590112