Search a number
-
+
366371040 = 25357237421
BaseRepresentation
bin10101110101100…
…110000011100000
3221112101120120210
4111311212003200
51222242333130
6100204334120
712036050100
oct2565460340
9845346523
10366371040
11178896a92
12a2844340
135ab988c9
143692d200
152226e5b0
hex15d660e0

366371040 has 288 divisors, whose sum is σ = 1382046624. Its totient is φ = 81285120.

The previous prime is 366370993. The next prime is 366371059. The reversal of 366371040 is 40173663.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 366370989 and 366371007.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 870030 + ... + 870450.

It is an arithmetic number, because the mean of its divisors is an integer number (4798773).

Almost surely, 2366371040 is an apocalyptic number.

366371040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691023312).

366371040 is an abundant number, since it is smaller than the sum of its proper divisors (1015675584).

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

366371040 is a wasteful number, since it uses less digits than its factorization.

366371040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 366371040 is about 19140.8212989934. The cubic root of 366371040 is about 715.5506475894.

The spelling of 366371040 in words is "three hundred sixty-six million, three hundred seventy-one thousand, forty".