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430104420 = 2232517140557
BaseRepresentation
bin11001101000101…
…101111101100100
31002222022120100100
4121220231331210
51340101320140
6110402344100
713441553514
oct3150557544
91088276310
10430104420
112008678a9
1210005b030
136b151c75
144119d844
1527b5d530
hex19a2df64

430104420 has 72 divisors (see below), whose sum is σ = 1381404024. Its totient is φ = 107947008.

The previous prime is 430104419. The next prime is 430104427. The reversal of 430104420 is 24401034.

It can be written as a sum of positive squares in 4 ways, for example, as 185995044 + 244109376 = 13638^2 + 15624^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 430104393 and 430104402.

It is not an unprimeable number, because it can be changed into a prime (430104427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67219 + ... + 73338.

It is an arithmetic number, because the mean of its divisors is an integer number (19186167).

Almost surely, 2430104420 is an apocalyptic number.

It is an amenable number.

430104420 is an abundant number, since it is smaller than the sum of its proper divisors (951299604).

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

430104420 is a wasteful number, since it uses less digits than its factorization.

430104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140589 (or 140584 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 430104420 is about 20738.9589902676. The cubic root of 430104420 is about 754.8453230494.

Adding to 430104420 its reverse (24401034), we get a palindrome (454505454).

The spelling of 430104420 in words is "four hundred thirty million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 140557 281114 421671 562228 702785 843342 1265013 1405570 1686684 2108355 2389469 2530026 2811140 4216710 4778938 5060052 6325065 7168407 8433420 9557876 11947345 12650130 14336814 21505221 23894690 25300260 28673628 35842035 43010442 47789380 71684070 86020884 107526105 143368140 215052210 430104420