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361240 = 23511821
BaseRepresentation
bin1011000001100011000
3200100112021
41120030120
543024430
611424224
73033115
oct1301430
9610467
10361240
11227450
12155074
13c8569
149590c
157207a
hex58318

361240 has 32 divisors (see below), whose sum is σ = 887760. Its totient is φ = 131200.

The previous prime is 361237. The next prime is 361241. The reversal of 361240 is 42163.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361241) 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, 30 + ... + 850.

2361240 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 361240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443880).

361240 is an abundant number, since it is smaller than the sum of its proper divisors (526520).

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

361240 is a wasteful number, since it uses less digits than its factorization.

361240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 361240 is about 601.0324450477. The cubic root of 361240 is about 71.2194493010.

The spelling of 361240 in words is "three hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 821 1642 3284 4105 6568 8210 9031 16420 18062 32840 36124 45155 72248 90310 180620 361240