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420000309 = 34231511493
BaseRepresentation
bin11001000010001…
…011001000110101
31002021022020010000
4121002023020311
51330010002214
6105402021513
713256641461
oct3102131065
91067266100
10420000309
111a60964a3
12b87a7899
1369024bc1
143dacd4a1
1526d14809
hex1908b235

420000309 has 40 divisors (see below), whose sum is σ = 659463552. Its totient is φ = 265874400.

The previous prime is 420000281. The next prime is 420000323. The reversal of 420000309 is 903000024.

It is not a de Polignac number, because 420000309 - 217 = 419869237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420000291 and 420000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420000349) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 280567 + ... + 282059.

Almost surely, 2420000309 is an apocalyptic number.

It is an amenable number.

420000309 is a deficient number, since it is larger than the sum of its proper divisors (239463243).

420000309 is a wasteful number, since it uses less digits than its factorization.

420000309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 420000309 is about 20493.9090707459. The cubic root of 420000309 is about 748.8874223775.

The spelling of 420000309 in words is "four hundred twenty million, three hundred nine", and thus it is an aban number.

Divisors: 1 3 9 23 27 69 81 151 207 453 621 1359 1493 1863 3473 4077 4479 10419 12231 13437 31257 34339 40311 93771 103017 120933 225443 281313 309051 676329 927153 2028987 2781459 5185189 6086961 15555567 18260883 46666701 140000103 420000309