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3312000906 = 2337149223449
BaseRepresentation
bin1100010101101001…
…0001111110001010
322112211010002010020
43011122101332022
523240333012111
61304351401310
7145034354214
oct30532217612
98484102106
103312000906
11144a5a1335
12785223236
1340a224866
14235c215b4
15145b73906
hexc5691f8a

3312000906 has 64 divisors (see below), whose sum is σ = 6894720000. Its totient is φ = 1059803136.

The previous prime is 3312000889. The next prime is 3312001037. The reversal of 3312000906 is 6090002133.

3312000906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7376170 + ... + 7376618.

It is an arithmetic number, because the mean of its divisors is an integer number (107730000).

Almost surely, 23312000906 is an apocalyptic number.

3312000906 is an abundant number, since it is smaller than the sum of its proper divisors (3582719094).

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

3312000906 is a wasteful number, since it uses less digits than its factorization.

3312000906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3312000906 is about 57549.9861511712. The cubic root of 3312000906 is about 1490.6081186631.

The spelling of 3312000906 in words is "three billion, three hundred twelve million, nine hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 37 74 111 149 222 223 298 446 447 449 669 894 898 1338 1347 2694 5513 8251 11026 16502 16539 16613 24753 33078 33226 33227 49506 49839 66454 66901 99678 99681 100127 133802 199362 200254 200703 300381 401406 600762 1229399 2458798 2475337 3688197 3704699 4950674 7376394 7409398 7426011 11114097 14852022 14918923 22228194 29837846 44756769 89513538 552000151 1104000302 1656000453 3312000906