Search a number
-
+
3361499136 = 21133313753
BaseRepresentation
bin1100100001011100…
…0110100000000000
322200021020211221000
43020113012200000
523341020433021
61313320332000
7146205162012
oct31027064000
98607224830
103361499136
11147552a066
12799914000
13417565758
1423c6281b2
1514a19eb26
hexc85c6800

3361499136 has 384 divisors, whose sum is σ = 10755763200. Its totient is φ = 1035141120.

The previous prime is 3361499129. The next prime is 3361499137. The reversal of 3361499136 is 6319941633.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33614991362 = 22599352882657492992, 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 = 3361499091 and 3361499100.

It is not an unprimeable number, because it can be changed into a prime (3361499137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63424486 + ... + 63424538.

It is an arithmetic number, because the mean of its divisors is an integer number (28009800).

Almost surely, 23361499136 is an apocalyptic number.

3361499136 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 3361499136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377881600).

3361499136 is an abundant number, since it is smaller than the sum of its proper divisors (7394264064).

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

3361499136 is a wasteful number, since it uses less digits than its factorization.

3361499136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 3361499136 is about 57978.4368192175. The cubic root of 3361499136 is about 1497.9971990491.

The spelling of 3361499136 in words is "three billion, three hundred sixty-one million, four hundred ninety-nine thousand, one hundred thirty-six".