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417292340 = 22520864617
BaseRepresentation
bin11000110111110…
…110000000110100
31002002012122110212
4120313312000310
51323311323330
6105224004552
713224632513
oct3067660064
91062178425
10417292340
111a4606a03
12b7900758
13685b745a
143d5c667a
152697c295
hex18df6034

417292340 has 12 divisors (see below), whose sum is σ = 876313956. Its totient is φ = 166916928.

The previous prime is 417292331. The next prime is 417292357. The reversal of 417292340 is 43292714.

It can be written as a sum of positive squares in 2 ways, for example, as 140801956 + 276490384 = 11866^2 + 16628^2 .

It is a junction number, because it is equal to n+sod(n) for n = 417292297 and 417292306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10432289 + ... + 10432328.

It is an arithmetic number, because the mean of its divisors is an integer number (73026163).

Almost surely, 2417292340 is an apocalyptic number.

It is an amenable number.

417292340 is an abundant number, since it is smaller than the sum of its proper divisors (459021616).

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

417292340 is a wasteful number, since it uses less digits than its factorization.

417292340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20864626 (or 20864624 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 417292340 is about 20427.7345782639. The cubic root of 417292340 is about 747.2744568472.

The spelling of 417292340 in words is "four hundred seventeen million, two hundred ninety-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 20864617 41729234 83458468 104323085 208646170 417292340