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363678016 = 2613437113
BaseRepresentation
bin10101101011010…
…100100101000000
3221100022202110011
4111223110211000
51221100144031
6100030514304
712004132522
oct2553244500
9840282404
10363678016
11177317749
12a1965994
135a464bc0
143642ba12
1521ddb6b1
hex15ad4940

363678016 has 28 divisors (see below), whose sum is σ = 777188692. Its totient is φ = 167851008.

The previous prime is 363678013. The next prime is 363678037. The reversal of 363678016 is 610876363.

363678016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14137600 + 349540416 = 3760^2 + 18696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 363678016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363678011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 217725 + ... + 219388.

It is an arithmetic number, because the mean of its divisors is an integer number (27756739).

Almost surely, 2363678016 is an apocalyptic number.

It is an amenable number.

363678016 is an abundant number, since it is smaller than the sum of its proper divisors (413510676).

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

363678016 is a wasteful number, since it uses less digits than its factorization.

363678016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437138 (or 437128 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 363678016 is about 19070.3438878275. The cubic root of 363678016 is about 713.7931069952.

The spelling of 363678016 in words is "three hundred sixty-three million, six hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 437113 874226 1748452 3496904 5682469 6993808 11364938 13987616 22729876 27975232 45459752 90919504 181839008 363678016