Search a number
-
+
411000352 = 2574993677
BaseRepresentation
bin11000011111110…
…101111000100000
31001122100222111021
4120133311320200
51320204002402
6104441055224
713120305520
oct3037657040
91048328437
10411000352
111a0aa9714
12b5787514
13671c3599
143c829680
1526137d37
hex187f5e20

411000352 has 48 divisors (see below), whose sum is σ = 926856000. Its totient is φ = 175742208.

The previous prime is 411000341. The next prime is 411000353. The reversal of 411000352 is 253000114.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (411000353) 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, 109938 + ... + 113614.

It is an arithmetic number, because the mean of its divisors is an integer number (19309500).

Almost surely, 2411000352 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 411000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463428000).

411000352 is an abundant number, since it is smaller than the sum of its proper divisors (515855648).

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

411000352 is a wasteful number, since it uses less digits than its factorization.

411000352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 411000352 is about 20273.1436141512. The cubic root of 411000352 is about 743.4995864176.

Adding to 411000352 its reverse (253000114), we get a palindrome (664000466).

The spelling of 411000352 in words is "four hundred eleven million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 499 998 1996 3493 3677 3992 6986 7354 7984 13972 14708 15968 25739 27944 29416 51478 55888 58832 102956 111776 117664 205912 411824 823648 1834823 3669646 7339292 12843761 14678584 25687522 29357168 51375044 58714336 102750088 205500176 411000352