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1933934994 = 233175993517
BaseRepresentation
bin111001101000101…
…1000000110010010
311222210001002002000
41303101120012102
512430041404434
6515522534430
765632114305
oct16321300622
94883032060
101933934994
11902723a92
1245b807416
1324a885944
14144bbcb3c
15b4bb2b99
hex73458192

1933934994 has 64 divisors (see below), whose sum is σ = 4559328000. Its totient is φ = 605539584.

The previous prime is 1933934993. The next prime is 1933935127. The reversal of 1933934994 is 4994393391.

It is a super-2 number, since 2×19339349942 = 7480209122035560072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1933934994.

It is not an unprimeable number, because it can be changed into a prime (1933934993) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 548124 + ... + 551640.

It is an arithmetic number, because the mean of its divisors is an integer number (71239500).

Almost surely, 21933934994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1933934994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279664000).

1933934994 is an abundant number, since it is smaller than the sum of its proper divisors (2625393006).

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

1933934994 is a wasteful number, since it uses less digits than its factorization.

1933934994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4138 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The square root of 1933934994 is about 43976.5277619778. The cubic root of 1933934994 is about 1245.8926505803.

The spelling of 1933934994 in words is "one billion, nine hundred thirty-three million, nine hundred thirty-four thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 599 918 1198 1797 3517 3594 5391 7034 10183 10551 10782 16173 20366 21102 30549 31653 32346 59789 61098 63306 91647 94959 119578 179367 183294 189918 274941 358734 538101 549882 1076202 1614303 2106683 3228606 4213366 6320049 12640098 18960147 35813611 37920294 56880441 71627222 107440833 113760882 214881666 322322499 644644998 966967497 1933934994