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3678376 = 2313113313
BaseRepresentation
bin1110000010000010101000
320220212210011
432002002220
51420202001
6210501304
743160062
oct16020250
96825704
103678376
112092689
121294834
139ba370
146ba732
154c9d51
hex3820a8

3678376 has 32 divisors (see below), whose sum is σ = 7517160. Its totient is φ = 1677312.

The previous prime is 3678347. The next prime is 3678377. The reversal of 3678376 is 6738763.

It can be written as a sum of positive squares in 4 ways, for example, as 329476 + 3348900 = 574^2 + 1830^2 .

It is a d-powerful number, because it can be written as 311 + 62 + 74 + 87 + 312 + 77 + 66 .

Its product of digits (127008) is a multiple of the sum of its prime divisors (441).

It is not an unprimeable number, because it can be changed into a prime (3678377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11596 + ... + 11908.

Almost surely, 23678376 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 3678376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758580).

3678376 is an abundant number, since it is smaller than the sum of its proper divisors (3838784).

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

3678376 is a wasteful number, since it uses less digits than its factorization.

3678376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 3678376 is about 1917.9092783549. The cubic root of 3678376 is about 154.3661384217.

It can be divided in two parts, 367837 and 6, that multiplied together give a palindrome (2207022).

The spelling of 3678376 in words is "three million, six hundred seventy-eight thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 104 113 226 313 452 626 904 1252 1469 2504 2938 4069 5876 8138 11752 16276 32552 35369 70738 141476 282952 459797 919594 1839188 3678376