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9340106352 = 243414999511
BaseRepresentation
bin10001011001011011…
…01011011001110000
3220002221001120012220
420230231223121300
5123112031400402
64142450521040
7450312410523
oct105455533160
926087046186
109340106352
113a63279165
121987b96180
13b5b081165
14648668bba
15399eaddbc
hex22cb6b670

9340106352 has 80 divisors (see below), whose sum is σ = 24769248000. Its totient is φ = 3031027200.

The previous prime is 9340106263. The next prime is 9340106387. The reversal of 9340106352 is 2536010439.

9340106352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 977277 + ... + 986787.

It is an arithmetic number, because the mean of its divisors is an integer number (309615600).

Almost surely, 29340106352 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 9340106352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384624000).

9340106352 is an abundant number, since it is smaller than the sum of its proper divisors (15429141648).

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

9340106352 is a wasteful number, since it uses less digits than its factorization.

9340106352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 9340106352 is about 96644.2256526483. The cubic root of 9340106352 is about 2105.9623715667.

The spelling of 9340106352 in words is "nine billion, three hundred forty million, one hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 499 656 984 998 1497 1968 1996 2994 3992 5988 7984 9511 11976 19022 20459 23952 28533 38044 40918 57066 61377 76088 81836 114132 122754 152176 163672 228264 245508 327344 389951 456528 491016 779902 982032 1169853 1559804 2339706 3119608 4679412 4745989 6239216 9358824 9491978 14237967 18717648 18983956 28475934 37967912 56951868 75935824 113903736 194585549 227807472 389171098 583756647 778342196 1167513294 1556684392 2335026588 3113368784 4670053176 9340106352