Search a number
-
+
3681368824 = 237242122307
BaseRepresentation
bin1101101101101101…
…0011101011111000
3100111120010220122111
43123123103223320
530014412300244
61405144302104
7160141055500
oct33333235370
910446126574
103681368824
11161a044981
12868a71934
134688cc563
1426ccd0a00
151682d5e34
hexdb6d3af8

3681368824 has 48 divisors (see below), whose sum is σ = 8048949480. Its totient is φ = 1573911360.

The previous prime is 3681368809. The next prime is 3681368827. The reversal of 3681368824 is 4288631863.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681368827) 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, 153879 + ... + 176185.

Almost surely, 23681368824 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 3681368824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024474740).

3681368824 is an abundant number, since it is smaller than the sum of its proper divisors (4367580656).

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

3681368824 is a wasteful number, since it uses less digits than its factorization.

3681368824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22748 (or 22737 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

The square root of 3681368824 is about 60674.2847011813. The cubic root of 3681368824 is about 1544.0799253014.

The spelling of 3681368824 in words is "three billion, six hundred eighty-one million, three hundred sixty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 421 842 1684 2947 3368 5894 11788 20629 22307 23576 41258 44614 82516 89228 156149 165032 178456 312298 624596 1093043 1249192 2186086 4372172 8744344 9391247 18782494 37564988 65738729 75129976 131477458 262954916 460171103 525909832 920342206 1840684412 3681368824