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430681056 = 253131941443
BaseRepresentation
bin11001101010111…
…010101111100000
31010000101212100020
4121222322233200
51340223243211
6110422553440
713446504621
oct3152725740
91100355306
10430681056
11201121063
12100298880
136b2c4580
14412ada48
1527c24306
hex19ababe0

430681056 has 192 divisors, whose sum is σ = 1315802880. Its totient is φ = 122204160.

The previous prime is 430681051. The next prime is 430681063. The reversal of 430681056 is 650186034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430681051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971971 + ... + 972413.

It is an arithmetic number, because the mean of its divisors is an integer number (6853140).

Almost surely, 2430681056 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 430681056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657901440).

430681056 is an abundant number, since it is smaller than the sum of its proper divisors (885121824).

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

430681056 is a wasteful number, since it uses less digits than its factorization.

430681056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 430681056 is about 20752.8565744574. The cubic root of 430681056 is about 755.1825098590.

The spelling of 430681056 in words is "four hundred thirty million, six hundred eighty-one thousand, fifty-six".