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420376461 = 3314520177
BaseRepresentation
bin11001000011100…
…110111110001101
31002022000100002120
4121003212332031
51330104021321
6105414043153
713263066231
oct3103467615
91068010076
10420376461
111a632306a
12b89494b9
136912718b
143db8a5c1
1526d8aec6
hex190e6f8d

420376461 has 8 divisors (see below), whose sum is σ = 578582784. Its totient is φ = 271210560.

The previous prime is 420376447. The next prime is 420376469. The reversal of 420376461 is 164673024.

It is a happy number.

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

It is not a de Polignac number, because 420376461 - 222 = 416182157 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420376469) 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, 2259996 + ... + 2260181.

It is an arithmetic number, because the mean of its divisors is an integer number (72322848).

Almost surely, 2420376461 is an apocalyptic number.

It is an amenable number.

420376461 is a deficient number, since it is larger than the sum of its proper divisors (158206323).

420376461 is a wasteful number, since it uses less digits than its factorization.

420376461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520211.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 420376461 is about 20503.0841826297. The cubic root of 420376461 is about 749.1109233623.

The spelling of 420376461 in words is "four hundred twenty million, three hundred seventy-six thousand, four hundred sixty-one".

Divisors: 1 3 31 93 4520177 13560531 140125487 420376461