Search a number
-
+
3678445368 = 23321331331383
BaseRepresentation
bin1101101101000000…
…1001111100111000
3100111100122101102100
43123100021330320
530013140222433
61405001503400
7160104161343
oct33320117470
910440571370
103678445368
1116184284a4
12867aa1b60
134681179c0
1426c76d45a
15167e09b13
hexdb409f38

3678445368 has 192 divisors, whose sum is σ = 11137351680. Its totient is φ = 1089158400.

The previous prime is 3678445357. The next prime is 3678445403. The reversal of 3678445368 is 8635448763.

3678445368 is a `hidden beast` number, since 3 + 67 + 8 + 44 + 536 + 8 = 666.

3678445368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9604105 + ... + 9604487.

It is an arithmetic number, because the mean of its divisors is an integer number (58007040).

Almost surely, 23678445368 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 3678445368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568675840).

3678445368 is an abundant number, since it is smaller than the sum of its proper divisors (7458906312).

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

3678445368 is a wasteful number, since it uses less digits than its factorization.

3678445368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 763 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 3678445368 is about 60650.1885240269. The cubic root of 3678445368 is about 1543.6710877768.

The spelling of 3678445368 in words is "three billion, six hundred seventy-eight million, four hundred forty-five thousand, three hundred sixty-eight".