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376064 = 2813113
BaseRepresentation
bin1011011110100000000
3201002212022
41123310000
544013224
612021012
73124253
oct1336400
9632768
10376064
112375a7
12161768
13102230
149b09a
157665e
hex5bd00

376064 has 36 divisors (see below), whose sum is σ = 815556. Its totient is φ = 172032.

The previous prime is 376063. The next prime is 376081. The reversal of 376064 is 460673.

It can be written as a sum of positive squares in 2 ways, for example, as 25600 + 350464 = 160^2 + 592^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376063) 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, 3272 + ... + 3384.

2376064 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 376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407778).

376064 is an abundant number, since it is smaller than the sum of its proper divisors (439492).

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

376064 is a wasteful number, since it uses less digits than its factorization.

376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 376064 is about 613.2405726956. The cubic root of 376064 is about 72.1806164922.

It can be divided in two parts, 3 and 76064, that added together give a palindrome (76067).

The spelling of 376064 in words is "three hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 128 208 226 256 416 452 832 904 1469 1664 1808 2938 3328 3616 5876 7232 11752 14464 23504 28928 47008 94016 188032 376064