Search a number
-
+
3136368 = 243192181
BaseRepresentation
bin1011111101101101110000
312220100021210
423331231300
51300330433
6151120120
735441634
oct13755560
95810253
103136368
111852444
121073040
1385a751
145b8dc4
1541e463
hex2fdb70

3136368 has 60 divisors (see below), whose sum is σ = 8598408. Its totient is φ = 984960.

The previous prime is 3136361. The next prime is 3136373. The reversal of 3136368 is 8636313.

It is a super-4 number, since 4×31363684 (a number of 27 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3136361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17238 + ... + 17418.

Almost surely, 23136368 is an apocalyptic number.

3136368 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 3136368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299204).

3136368 is an abundant number, since it is smaller than the sum of its proper divisors (5462040).

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

3136368 is a wasteful number, since it uses less digits than its factorization.

3136368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 205 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 3136368 is about 1770.9793900551. The cubic root of 3136368 is about 146.3779536213.

Subtracting 3136368 from its reverse (8636313), we obtain a palindrome (5499945).

The spelling of 3136368 in words is "three million, one hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 181 228 304 361 362 456 543 722 724 912 1083 1086 1444 1448 2166 2172 2888 2896 3439 4332 4344 5776 6878 8664 8688 10317 13756 17328 20634 27512 41268 55024 65341 82536 130682 165072 196023 261364 392046 522728 784092 1045456 1568184 3136368