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430107390 = 232513734883
BaseRepresentation
bin11001101000101…
…110101011111110
31002222022201102100
4121220232223332
51340101414030
6110402405530
713441565256
oct3150565376
91088281370
10430107390
1120086a059
121000608a6
136b15341b
14411a0966
1527b5e360
hex19a2eafe

430107390 has 48 divisors (see below), whose sum is σ = 1126474128. Its totient is φ = 113854848.

The previous prime is 430107347. The next prime is 430107407. The reversal of 430107390 is 93701034.

It is a super-3 number, since 3×4301073903 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5112 + ... + 29771.

It is an arithmetic number, because the mean of its divisors is an integer number (23468211).

Almost surely, 2430107390 is an apocalyptic number.

430107390 is an abundant number, since it is smaller than the sum of its proper divisors (696366738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

430107390 is a wasteful number, since it uses less digits than its factorization.

430107390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35033 (or 35030 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 430107390 is about 20739.0305945095. The cubic root of 430107390 is about 754.8470605232.

The spelling of 430107390 in words is "four hundred thirty million, one hundred seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 34883 69766 104649 174415 209298 313947 348830 523245 627894 1046490 1569735 3139470 4778971 9557942 14336913 23894855 28673826 43010739 47789710 71684565 86021478 143369130 215053695 430107390