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411320032 = 25171375519
BaseRepresentation
bin11000100001000…
…011111011100000
31001122222020000021
4120201003323200
51320244220112
6104452003224
713123106524
oct3041037340
91048866007
10411320032
111a11a7912
12b5900514
13672a5c46
143c8add84
152619c907
hex18843ee0

411320032 has 48 divisors (see below), whose sum is σ = 863835840. Its totient is φ = 192114688.

The previous prime is 411320003. The next prime is 411320047. The reversal of 411320032 is 230023114.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 411319988 and 411320015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71769 + ... + 77287.

It is an arithmetic number, because the mean of its divisors is an integer number (17996580).

Almost surely, 2411320032 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 411320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431917920).

411320032 is an abundant number, since it is smaller than the sum of its proper divisors (452515808).

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

411320032 is a wasteful number, since it uses less digits than its factorization.

411320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 411320032 is about 20281.0264040063. The cubic root of 411320032 is about 743.6923034875.

Adding to 411320032 its reverse (230023114), we get a palindrome (641343146).

The spelling of 411320032 in words is "four hundred eleven million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 137 272 274 544 548 1096 2192 2329 4384 4658 5519 9316 11038 18632 22076 37264 44152 74528 88304 93823 176608 187646 375292 750584 756103 1501168 1512206 3002336 3024412 6048824 12097648 12853751 24195296 25707502 51415004 102830008 205660016 411320032