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430103828 = 2271113710193
BaseRepresentation
bin11001101000101…
…101110100010100
31002222022112112102
4121220231310110
51340101310303
6110402341232
713441552010
oct3150556424
91088275472
10430103828
11200867410
1210005a818
136b15190b
144119d540
1527b5d288
hex19a2dd14

430103828 has 48 divisors (see below), whose sum is σ = 945350784. Its totient is φ = 166333440.

The previous prime is 430103819. The next prime is 430103833. The reversal of 430103828 is 828301034.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 430103828.

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, 37100 + ... + 47292.

It is an arithmetic number, because the mean of its divisors is an integer number (19694808).

Almost surely, 2430103828 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 430103828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472675392).

430103828 is an abundant number, since it is smaller than the sum of its proper divisors (515246956).

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

430103828 is a wasteful number, since it uses less digits than its factorization.

430103828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352 (or 10350 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 430103828 is about 20738.9447176080. The cubic root of 430103828 is about 754.8449767237.

The spelling of 430103828 in words is "four hundred thirty million, one hundred three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 137 154 274 308 548 959 1507 1918 3014 3836 6028 10193 10549 20386 21098 40772 42196 71351 112123 142702 224246 285404 448492 784861 1396441 1569722 2792882 3139444 5585764 9775087 15360851 19550174 30721702 39100348 61443404 107525957 215051914 430103828