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416468363 = 1724730661
BaseRepresentation
bin11000110100101…
…100110110001011
31002000122210012012
4120310230312023
51323103441423
6105154210135
713214631323
oct3064546613
91060583165
10416468363
111a40a3933
12b758394b
13683893ac
143d450283
1526868078
hex18d2cd8b

416468363 has 12 divisors (see below), whose sum is σ = 451835232. Its totient is φ = 383617920.

The previous prime is 416468347. The next prime is 416468369. The reversal of 416468363 is 363864614.

It is not a de Polignac number, because 416468363 - 24 = 416468347 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 416468363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416468369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1748 + ... + 28913.

It is an arithmetic number, because the mean of its divisors is an integer number (37652936).

Almost surely, 2416468363 is an apocalyptic number.

416468363 is a deficient number, since it is larger than the sum of its proper divisors (35366869).

416468363 is a wasteful number, since it uses less digits than its factorization.

416468363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30742 (or 30725 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 416468363 is about 20407.5565171335. The cubic root of 416468363 is about 746.7822817578.

It can be divided in two parts, 4164 and 68363, that added together give a palindrome (72527).

The spelling of 416468363 in words is "four hundred sixteen million, four hundred sixty-eight thousand, three hundred sixty-three".

Divisors: 1 17 47 289 799 13583 30661 521237 1441067 8861029 24498139 416468363