Search a number
-
+
3761368 = 231359613
BaseRepresentation
bin1110010110010011011000
321002002121221
432112103120
51430330433
6212341424
743654042
oct16262330
97062557
103761368
112139a76
121314874
13a19080
146dca92
154e472d
hex3964d8

3761368 has 32 divisors (see below), whose sum is σ = 7736400. Its totient is φ = 1703808.

The previous prime is 3761333. The next prime is 3761389. The reversal of 3761368 is 8631673.

3761368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5830 + ... + 6442.

Almost surely, 23761368 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 3761368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868200).

3761368 is an abundant number, since it is smaller than the sum of its proper divisors (3975032).

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

3761368 is a wasteful number, since it uses less digits than its factorization.

3761368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 687 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 3761368 is about 1939.4246569537. The cubic root of 3761368 is about 155.5184581226.

The spelling of 3761368 in words is "three million, seven hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 472 613 767 1226 1534 2452 3068 4904 6136 7969 15938 31876 36167 63752 72334 144668 289336 470171 940342 1880684 3761368