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361064 = 23112373
BaseRepresentation
bin1011000001001101000
3200100021202
41120021220
543023224
611423332
73032444
oct1301150
9610252
10361064
11227300
12154b48
13c8462
1495824
1571eae
hex58268

361064 has 24 divisors (see below), whose sum is σ = 746130. Its totient is φ = 163680.

The previous prime is 361033. The next prime is 361069. The reversal of 361064 is 460163.

It can be written as a sum of positive squares in only one way, i.e., 302500 + 58564 = 550^2 + 242^2 .

It is not an unprimeable number, because it can be changed into a prime (361069) 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 5 ways as a sum of consecutive naturals, for example, 782 + ... + 1154.

2361064 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 361064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373065).

361064 is an abundant number, since it is smaller than the sum of its proper divisors (385066).

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

361064 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (361063) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (401).

361064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 361064 is about 600.8860124849. The cubic root of 361064 is about 71.2078811290.

Subtracting 361064 from its reverse (460163), we obtain a palindrome (99099).

The spelling of 361064 in words is "three hundred sixty-one thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 373 484 746 968 1492 2984 4103 8206 16412 32824 45133 90266 180532 361064