Search a number
-
+
360949940 = 225131388269
BaseRepresentation
bin10101100000111…
…010100010110100
3221011012011020022
4111200322202310
51214400344230
655452224312
711642011121
oct2540724264
9834164208
10360949940
1117582403a
12a0a6b098
1359a1b260
1435d1b748
1521a4d1e5
hex1583a8b4

360949940 has 24 divisors (see below), whose sum is σ = 816302760. Its totient is φ = 133273728.

The previous prime is 360949931. The next prime is 360949943. The reversal of 360949940 is 49949063.

It is a happy number.

360949940 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 43112356 + 317837584 = 6566^2 + 17828^2 .

It is a junction number, because it is equal to n+sod(n) for n = 360949891 and 360949900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360949943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693875 + ... + 694394.

It is an arithmetic number, because the mean of its divisors is an integer number (34012615).

Almost surely, 2360949940 is an apocalyptic number.

It is an amenable number.

360949940 is an abundant number, since it is smaller than the sum of its proper divisors (455352820).

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

360949940 is a wasteful number, since it uses less digits than its factorization.

360949940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388291 (or 1388289 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 360949940 is about 18998.6825859058. The cubic root of 360949940 is about 712.0038215719.

The spelling of 360949940 in words is "three hundred sixty million, nine hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1388269 2776538 5553076 6941345 13882690 18047497 27765380 36094994 72189988 90237485 180474970 360949940