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420454353 = 311175379179
BaseRepresentation
bin11001000011111…
…001111111010001
31002022011021221110
4121003321333101
51330114014403
6105415443533
713263542304
oct3103717721
91068137843
10420454353
111a6376640
12b89865a9
1369153777
143dbaab3b
1526da4103
hex190f9fd1

420454353 has 64 divisors (see below), whose sum is σ = 671846400. Its totient is φ = 231029760.

The previous prime is 420454351. The next prime is 420454369. The reversal of 420454353 is 353454024.

It is not a de Polignac number, because 420454353 - 21 = 420454351 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420454353.

It is not an unprimeable number, because it can be changed into a prime (420454351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2348818 + ... + 2348996.

It is an arithmetic number, because the mean of its divisors is an integer number (10497600).

Almost surely, 2420454353 is an apocalyptic number.

It is an amenable number.

420454353 is a deficient number, since it is larger than the sum of its proper divisors (251392047).

420454353 is a wasteful number, since it uses less digits than its factorization.

420454353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342.

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 420454353 is about 20504.9836137462. The cubic root of 420454353 is about 749.1571883573.

The spelling of 420454353 in words is "four hundred twenty million, four hundred fifty-four thousand, three hundred fifty-three".

Divisors: 1 3 11 17 33 51 53 79 159 179 187 237 537 561 583 869 901 1343 1749 1969 2607 2703 3043 4029 4187 5907 9129 9487 9911 12561 14141 14773 28461 29733 33473 42423 44319 46057 71179 100419 104357 138171 155551 161279 213537 240397 313071 466653 483837 721191 749473 782969 1774069 2248419 2348907 2644367 5322207 7933101 8244203 12741041 24732609 38223123 140151451 420454353