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420335001 = 3415733053
BaseRepresentation
bin11001000011011…
…100110110011001
31002021221020020000
4121003130312121
51330101210001
6105413123213
713262534322
oct3103346631
91067836200
10420335001
111a62a49a9
12b8929509
1369111348
143db79449
1526d7da86
hex190dcd99

420335001 has 20 divisors (see below), whose sum is σ = 631926372. Its totient is φ = 278430048.

The previous prime is 420334973. The next prime is 420335011. The reversal of 420335001 is 100533024.

It can be written as a sum of positive squares in 2 ways, for example, as 244109376 + 176225625 = 15624^2 + 13275^2 .

It is not a de Polignac number, because 420335001 - 25 = 420334969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420335011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3810 + ... + 29243.

Almost surely, 2420335001 is an apocalyptic number.

It is an amenable number.

420335001 is a deficient number, since it is larger than the sum of its proper divisors (211591371).

420335001 is a wasteful number, since it uses less digits than its factorization.

420335001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33222 (or 33213 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 420335001 is about 20502.0730902999. The cubic root of 420335001 is about 749.0862953104.

Adding to 420335001 its reverse (100533024), we get a palindrome (520868025).

It can be divided in two parts, 4203 and 35001, that added together give a square (39204 = 1982).

The spelling of 420335001 in words is "four hundred twenty million, three hundred thirty-five thousand, one".

Divisors: 1 3 9 27 81 157 471 1413 4239 12717 33053 99159 297477 892431 2677293 5189321 15567963 46703889 140111667 420335001