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430319420 = 225232513727
BaseRepresentation
bin11001101001100…
…010011100111100
31002222201111021022
4121221202130330
51340130210140
6110411123312
713443440366
oct3151423474
91088644238
10430319420
112009a4393
12100143538
136b1c8a9b
1441217d36
1527ba20b5
hex19a6273c

430319420 has 48 divisors (see below), whose sum is σ = 946971648. Its totient is φ = 163944000.

The previous prime is 430319381. The next prime is 430319441. The reversal of 430319420 is 24913034.

It is a self number, because there is not a number n which added to its sum of digits gives 430319420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113597 + ... + 117323.

It is an arithmetic number, because the mean of its divisors is an integer number (19728576).

Almost surely, 2430319420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430319420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473485824).

430319420 is an abundant number, since it is smaller than the sum of its proper divisors (516652228).

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

430319420 is a wasteful number, since it uses less digits than its factorization.

430319420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 430319420 is about 20744.1418236571. The cubic root of 430319420 is about 754.9710791080.

The spelling of 430319420 in words is "four hundred thirty million, three hundred nineteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 251 460 502 1004 1255 2510 3727 5020 5773 7454 11546 14908 18635 23092 28865 37270 57730 74540 85721 115460 171442 342884 428605 857210 935477 1714420 1870954 3741908 4677385 9354770 18709540 21515971 43031942 86063884 107579855 215159710 430319420