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3442726912 = 21116310313
BaseRepresentation
bin1100110100110011…
…1101100000000000
322212221002122111011
43031030331200000
524022314230122
61325341330304
7151212460462
oct31514754000
98787078434
103442726912
111507369759
12800b66994
1342b335921
14249330132
15152397377
hexcd33d800

3442726912 has 48 divisors (see below), whose sum is σ = 6926676120. Its totient is φ = 1710637056.

The previous prime is 3442726897. The next prime is 3442726927. The reversal of 3442726912 is 2196272443.

It is an interprime number because it is at equal distance from previous prime (3442726897) and next prime (3442726927).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 328668 + ... + 338980.

Almost surely, 23442726912 is an apocalyptic number.

3442726912 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 3442726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463338060).

3442726912 is an abundant number, since it is smaller than the sum of its proper divisors (3483949208).

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

3442726912 is a wasteful number, since it uses less digits than its factorization.

3442726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10498 (or 10478 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 3442726912 is about 58674.7553211771. The cubic root of 3442726912 is about 1509.9672393226.

The spelling of 3442726912 in words is "three billion, four hundred forty-two million, seven hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 163 256 326 512 652 1024 1304 2048 2608 5216 10313 10432 20626 20864 41252 41728 82504 83456 165008 166912 330016 333824 660032 1320064 1681019 2640128 3362038 5280256 6724076 10560512 13448152 21121024 26896304 53792608 107585216 215170432 430340864 860681728 1721363456 3442726912