Search a number
-
+
361324240 = 24537122069
BaseRepresentation
bin10101100010010…
…101111011010000
3221011220011200021
4111202111323100
51214444333430
655504233224
711645130304
oct2542257320
9834804607
10361324240
11175a5a282
12a100b814
1359b1c734
1435db7d04
1521ac407a
hex15895ed0

361324240 has 40 divisors (see below), whose sum is σ = 862790760. Its totient is φ = 140622336.

The previous prime is 361324199. The next prime is 361324241. The reversal of 361324240 is 42423163.

361324240 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 4 ways, for example, as 17740944 + 343583296 = 4212^2 + 18536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361324241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58075 + ... + 63994.

It is an arithmetic number, because the mean of its divisors is an integer number (21569769).

Almost surely, 2361324240 is an apocalyptic number.

It is an amenable number.

361324240 is an abundant number, since it is smaller than the sum of its proper divisors (501466520).

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

361324240 is a wasteful number, since it uses less digits than its factorization.

361324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122119 (or 122113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 361324240 is about 19008.5307164967. The cubic root of 361324240 is about 712.2498491914.

The spelling of 361324240 in words is "three hundred sixty-one million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 122069 244138 488276 610345 976552 1220690 1953104 2441380 4516553 4882760 9033106 9765520 18066212 22582765 36132424 45165530 72264848 90331060 180662120 361324240