Search a number
-
+
3323934936 = 2332719218269
BaseRepresentation
bin1100011000011111…
…0011100011011000
322120122120101112100
43012013303203120
523301411404221
61305455243400
7145240660260
oct30607634330
98518511470
103323934936
111456302573
12789219560
1340c84280a
1423764a7a0
15146c2e926
hexc61f38d8

3323934936 has 144 divisors (see below), whose sum is σ = 10858957200. Its totient is φ = 899662464.

The previous prime is 3323934881. The next prime is 3323934937. The reversal of 3323934936 is 6394393233.

It is a happy number.

3323934936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33239349362 = 22097086917522648192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3323934891 and 3323934900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323934937) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172810 + ... + 191078.

It is an arithmetic number, because the mean of its divisors is an integer number (75409425).

Almost surely, 23323934936 is an apocalyptic number.

3323934936 is a gapful number since it is divisible by the number (36) 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 3323934936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429478600).

3323934936 is an abundant number, since it is smaller than the sum of its proper divisors (7535022264).

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

3323934936 is a wasteful number, since it uses less digits than its factorization.

3323934936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18326 (or 18300 counting only the distinct ones).

The product of its digits is 944784, while the sum is 45.

The square root of 3323934936 is about 57653.5769575488. The cubic root of 3323934936 is about 1492.3963265613.

The spelling of 3323934936 in words is "three billion, three hundred twenty-three million, nine hundred thirty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 361 399 456 504 532 684 722 798 1064 1083 1197 1368 1444 1596 2166 2394 2527 2888 3192 3249 4332 4788 5054 6498 7581 8664 9576 10108 12996 15162 18269 20216 22743 25992 30324 36538 45486 54807 60648 73076 90972 109614 127883 146152 164421 181944 219228 255766 328842 347111 383649 438456 511532 657684 694222 767298 1023064 1041333 1150947 1315368 1388444 1534596 2082666 2301894 2429777 2776888 3069192 3123999 4165332 4603788 4859554 6247998 6595109 7289331 8330664 9207576 9719108 12495996 13190218 14578662 19438216 19785327 21867993 24991992 26380436 29157324 39570654 43735986 46165763 52760872 58314648 59355981 79141308 87471972 92331526 118711962 138497289 158282616 174943944 184663052 237423924 276994578 369326104 415491867 474847848 553989156 830983734 1107978312 1661967468 3323934936