Search a number
-
+
3418884688 = 241727745377
BaseRepresentation
bin1100101111001000…
…0000101001010000
322211021020100002211
43023302000221100
524000213302223
61323130321504
7150503016562
oct31362005120
98737210084
103418884688
1114a496473a
127b4b89294
134264086bb
142460c5332
15150237d0d
hexcbc80a50

3418884688 has 40 divisors (see below), whose sum is σ = 7039216872. Its totient is φ = 1603043328.

The previous prime is 3418884683. The next prime is 3418884691. The reversal of 3418884688 is 8864888143.

It can be written as a sum of positive squares in 4 ways, for example, as 493372944 + 2925511744 = 22212^2 + 54088^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3418884683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52656 + ... + 98032.

Almost surely, 23418884688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3418884688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519608436).

3418884688 is an abundant number, since it is smaller than the sum of its proper divisors (3620332184).

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

3418884688 is a wasteful number, since it uses less digits than its factorization.

3418884688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45679 (or 45673 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 58.

The square root of 3418884688 is about 58471.2295748944. The cubic root of 3418884688 is about 1506.4734579651.

The spelling of 3418884688 in words is "three billion, four hundred eighteen million, eight hundred eighty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 277 554 1108 2216 4432 4709 9418 18836 37672 45377 75344 90754 181508 363016 726032 771409 1542818 3085636 6171272 12342544 12569429 25138858 50277716 100555432 201110864 213680293 427360586 854721172 1709442344 3418884688