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8430268 = 22711101271
BaseRepresentation
bin100000001010…
…001010111100
3120212022011011
4200022022330
54124232033
6500405004
7131441020
oct40121274
916768134
108430268
114838870
1229a6764
131992232
141196380
15b17ccd
hex80a2bc

8430268 has 48 divisors (see below), whose sum is σ = 18643968. Its totient is φ = 3240000.

The previous prime is 8430263. The next prime is 8430299. The reversal of 8430268 is 8620348.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8430263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30973 + ... + 31243.

It is an arithmetic number, because the mean of its divisors is an integer number (388416).

Almost surely, 28430268 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 8430268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9321984).

8430268 is an abundant number, since it is smaller than the sum of its proper divisors (10213700).

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

8430268 is a wasteful number, since it uses less digits than its factorization.

8430268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 8430268 is about 2903.4923798763. The cubic root of 8430268 is about 203.5231396756.

The spelling of 8430268 in words is "eight million, four hundred thirty thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 271 308 404 542 707 1084 1111 1414 1897 2222 2828 2981 3794 4444 5962 7588 7777 11924 15554 20867 27371 31108 41734 54742 83468 109484 191597 301081 383194 602162 766388 1204324 2107567 4215134 8430268