Search a number
-
+
413380944 = 24322870701
BaseRepresentation
bin11000101000111…
…011000101010000
31001210211221001100
4120220323011100
51321311142234
6105004104400
713146452154
oct3050730520
91053757040
10413380944
111a2385249
12b6535100
1367848012
143cc89064
1526458399
hex18a3b150

413380944 has 30 divisors (see below), whose sum is σ = 1156892906. Its totient is φ = 137793600.

The previous prime is 413380943. The next prime is 413380949. The reversal of 413380944 is 449083314.

It can be written as a sum of positive squares in only one way, i.e., 292820544 + 120560400 = 17112^2 + 10980^2 .

It is a super-2 number, since 2×4133809442 = 341767609724662272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 413380899 and 413380908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413380943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1435207 + ... + 1435494.

Almost surely, 2413380944 is an apocalyptic number.

It is an amenable number.

413380944 is an abundant number, since it is smaller than the sum of its proper divisors (743511962).

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

413380944 is a wasteful number, since it uses less digits than its factorization.

413380944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870715 (or 2870706 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 413380944 is about 20331.7717870332. The cubic root of 413380944 is about 744.9323206239.

The spelling of 413380944 in words is "four hundred thirteen million, three hundred eighty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2870701 5741402 8612103 11482804 17224206 22965608 25836309 34448412 45931216 51672618 68896824 103345236 137793648 206690472 413380944