Search a number
-
+
3193368 = 2331947149
BaseRepresentation
bin1100001011101000011000
320000020110220
430023220120
51304141433
6152240040
736100053
oct14135030
96006426
103193368
111891252
1210a0020
1387a689
145d1a9a
154312b3
hex30ba18

3193368 has 64 divisors (see below), whose sum is σ = 8640000. Its totient is φ = 980352.

The previous prime is 3193363. The next prime is 3193381. The reversal of 3193368 is 8633913.

It is a Cunningham number, because it is equal to 17872-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3193361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21358 + ... + 21506.

It is an arithmetic number, because the mean of its divisors is an integer number (135000).

Almost surely, 23193368 is an apocalyptic number.

3193368 is a gapful number since it is divisible by the number (38) 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 3193368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320000).

3193368 is an abundant number, since it is smaller than the sum of its proper divisors (5446632).

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

3193368 is a wasteful number, since it uses less digits than its factorization.

3193368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 3193368 is about 1786.9997202014. Note that the first 3 decimals coincide. The cubic root of 3193368 is about 147.2593874659.

The spelling of 3193368 in words is "three million, one hundred ninety-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 149 152 188 228 282 298 376 447 456 564 596 893 894 1128 1192 1786 1788 2679 2831 3572 3576 5358 5662 7003 7144 8493 10716 11324 14006 16986 21009 21432 22648 28012 33972 42018 56024 67944 84036 133057 168072 266114 399171 532228 798342 1064456 1596684 3193368