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8234268 = 2237611607
BaseRepresentation
bin11111011010010100011100
3120111100021220
4133122110130
54101444033
6452253340
7126663420
oct37322434
916440256
108234268
114714589
122911250
131923c63
141144b80
15ac9bb3
hex7da51c

8234268 has 48 divisors (see below), whose sum is σ = 22331904. Its totient is φ = 2312640.

The previous prime is 8234263. The next prime is 8234279. The reversal of 8234268 is 8624328.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8234263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4321 + ... + 5927.

It is an arithmetic number, because the mean of its divisors is an integer number (465248).

Almost surely, 28234268 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 8234268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165952).

8234268 is an abundant number, since it is smaller than the sum of its proper divisors (14097636).

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

8234268 is a wasteful number, since it uses less digits than its factorization.

8234268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1680 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 8234268 is about 2869.5414267789. The cubic root of 8234268 is about 201.9334813491.

The spelling of 8234268 in words is "eight million, two hundred thirty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1607 1708 2562 3214 4821 5124 6428 9642 11249 19284 22498 33747 44996 67494 98027 134988 196054 294081 392108 588162 686189 1176324 1372378 2058567 2744756 4117134 8234268