Search a number
-
+
412032114 = 232134573853
BaseRepresentation
bin11000100011110…
…001110001110010
31001201022101210200
4120203301301302
51320440011424
6104515140030
713132133544
oct3043616162
91051271720
10412032114
111a164390a
12b5ba4616
13674950b0
143ca17694
152628d8c9
hex188f1c72

412032114 has 48 divisors (see below), whose sum is σ = 963762072. Its totient is φ = 126468864.

The previous prime is 412032109. The next prime is 412032133. The reversal of 412032114 is 411230214.

It can be written as a sum of positive squares in 4 ways, for example, as 411400089 + 632025 = 20283^2 + 795^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105012 + ... + 108864.

Almost surely, 2412032114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412032114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481881036).

412032114 is an abundant number, since it is smaller than the sum of its proper divisors (551729958).

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

412032114 is a wasteful number, since it uses less digits than its factorization.

412032114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 412032114 is about 20298.5741863807. The cubic root of 412032114 is about 744.1212189759.

Adding to 412032114 its reverse (411230214), we get a palindrome (823262328).

The spelling of 412032114 in words is "four hundred twelve million, thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 457 914 1371 2742 3853 4113 5941 7706 8226 11559 11882 17823 23118 34677 35646 50089 53469 69354 100178 106938 150267 300534 450801 901602 1760821 3521642 5282463 10564926 15847389 22890673 31694778 45781346 68672019 137344038 206016057 412032114