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417372369 = 3257541339
BaseRepresentation
bin11000111000001…
…001100011010001
31002002100201020220
4120320021203101
51323321403434
6105225423253
713225415031
oct3070114321
91062321226
10417372369
111a4661047
12b793ab29
13686149cb
143d6078c1
1526995d49
hex18e098d1

417372369 has 8 divisors (see below), whose sum is σ = 558662880. Its totient is φ = 277165056.

The previous prime is 417372359. The next prime is 417372383. The reversal of 417372369 is 963273714.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 417372369 - 25 = 417372337 is a prime.

It is a super-2 number, since 2×4173723692 = 348399388809344322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 417372369.

It is not an unprimeable number, because it can be changed into a prime (417372359) 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, 269899 + ... + 271440.

It is an arithmetic number, because the mean of its divisors is an integer number (69832860).

Almost surely, 2417372369 is an apocalyptic number.

It is an amenable number.

417372369 is a deficient number, since it is larger than the sum of its proper divisors (141290511).

417372369 is a wasteful number, since it uses less digits than its factorization.

417372369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541599.

The product of its digits is 190512, while the sum is 42.

The square root of 417372369 is about 20429.6933163472. The cubic root of 417372369 is about 747.3222249617.

The spelling of 417372369 in words is "four hundred seventeen million, three hundred seventy-two thousand, three hundred sixty-nine".

Divisors: 1 3 257 771 541339 1624017 139124123 417372369