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420392313 = 32114246387
BaseRepresentation
bin11001000011101…
…010110101111001
31002022001010211200
4121003222311321
51330110023223
6105414244413
713263163365
oct3103526571
91068033750
10420392313
111a6333a70
12b8956709
1369131463
143db922a5
1526d90a43
hex190ead79

420392313 has 12 divisors (see below), whose sum is σ = 662436528. Its totient is φ = 254783160.

The previous prime is 420392281. The next prime is 420392351. The reversal of 420392313 is 313293024.

It is a happy number.

420392313 is a `hidden beast` number, since 420 + 3 + 9 + 231 + 3 = 666.

It is not a de Polignac number, because 420392313 - 25 = 420392281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420392363) 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, 2123095 + ... + 2123292.

It is an arithmetic number, because the mean of its divisors is an integer number (55203044).

Almost surely, 2420392313 is an apocalyptic number.

It is an amenable number.

420392313 is a deficient number, since it is larger than the sum of its proper divisors (242044215).

420392313 is a wasteful number, since it uses less digits than its factorization.

420392313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246404 (or 4246401 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 420392313 is about 20503.4707549722. The cubic root of 420392313 is about 749.1203393328.

The spelling of 420392313 in words is "four hundred twenty million, three hundred ninety-two thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 99 4246387 12739161 38217483 46710257 140130771 420392313