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420817347 = 32291612327
BaseRepresentation
bin11001000101010…
…010100111000011
31002022211201212200
4121011102213003
51330212123342
6105431324243
713266613506
oct3105224703
91068751780
10420817347
111a65a4335
12b8b20683
136924ca62
143dc6313d
1526e2694c
hex191529c3

420817347 has 12 divisors (see below), whose sum is σ = 628807920. Its totient is φ = 270870768.

The previous prime is 420817261. The next prime is 420817351. The reversal of 420817347 is 743718024.

It is a happy number.

It is not a de Polignac number, because 420817347 - 28 = 420817091 is a prime.

It is a super-2 number, since 2×4208173472 = 354174479072236818, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (420817147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 805903 + ... + 806424.

It is an arithmetic number, because the mean of its divisors is an integer number (52400660).

Almost surely, 2420817347 is an apocalyptic number.

420817347 is a deficient number, since it is larger than the sum of its proper divisors (207990573).

420817347 is a wasteful number, since it uses less digits than its factorization.

420817347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612362 (or 1612359 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 420817347 is about 20513.8330645445. The cubic root of 420817347 is about 749.3727181696.

The spelling of 420817347 in words is "four hundred twenty million, eight hundred seventeen thousand, three hundred forty-seven".

Divisors: 1 3 9 29 87 261 1612327 4836981 14510943 46757483 140272449 420817347