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8233434 = 2331183167
BaseRepresentation
bin11111011010000111011010
3120111022011000
4133122013122
54101432214
6452245430
7126661116
oct37320732
916438130
108233434
1147139a0
122910876
131923771
141144746
15ac9809
hex7da1da

8233434 has 64 divisors (see below), whose sum is σ = 20321280. Its totient is φ = 2450160.

The previous prime is 8233427. The next prime is 8233447. The reversal of 8233434 is 4343328.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8233398 and 8233407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49219 + ... + 49385.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 28233434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8233434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

8233434 is an abundant number, since it is smaller than the sum of its proper divisors (12087846).

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

8233434 is a wasteful number, since it uses less digits than its factorization.

8233434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 8233434 is about 2869.3961037124. The cubic root of 8233434 is about 201.9266635721.

The spelling of 8233434 in words is "eight million, two hundred thirty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 83 99 166 167 198 249 297 334 498 501 594 747 913 1002 1494 1503 1826 1837 2241 2739 3006 3674 4482 4509 5478 5511 8217 9018 11022 13861 16434 16533 24651 27722 33066 41583 49302 49599 83166 99198 124749 152471 249498 304942 374247 457413 748494 914826 1372239 2744478 4116717 8233434