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8430968 = 2371337313
BaseRepresentation
bin100000001010…
…010101111000
3120212100010002
4200022111320
54124242333
6500412132
7131443040
oct40122570
916770102
108430968
114839347
1229a7048
131992650
141196720
15b180e8
hex80a578

8430968 has 64 divisors (see below), whose sum is σ = 20045760. Its totient is φ = 3234816.

The previous prime is 8430941. The next prime is 8431013. The reversal of 8430968 is 8690348.

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, 26780 + ... + 27092.

It is an arithmetic number, because the mean of its divisors is an integer number (313215).

Almost surely, 28430968 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 8430968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10022880).

8430968 is an abundant number, since it is smaller than the sum of its proper divisors (11614792).

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

8430968 is a wasteful number, since it uses less digits than its factorization.

8430968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 8430968 is about 2903.6129218613. The cubic root of 8430968 is about 203.5287726423.

The spelling of 8430968 in words is "eight million, four hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 182 259 296 313 364 481 518 626 728 962 1036 1252 1924 2072 2191 2504 3367 3848 4069 4382 6734 8138 8764 11581 13468 16276 17528 23162 26936 28483 32552 46324 56966 81067 92648 113932 150553 162134 227864 301106 324268 602212 648536 1053871 1204424 2107742 4215484 8430968