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9010314 = 2323783163
BaseRepresentation
bin100010010111…
…110010001010
3121221202211100
4202113302022
54301312224
6521042230
7136405065
oct42276212
917852740
109010314
1150a4645
123026376
131b36261
1412a78dc
15bceac9
hex897c8a

9010314 has 48 divisors (see below), whose sum is σ = 20416032. Its totient is φ = 2869344.

The previous prime is 9010307. The next prime is 9010381. The reversal of 9010314 is 4130109.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55197 + ... + 55359.

It is an arithmetic number, because the mean of its divisors is an integer number (425334).

Almost surely, 29010314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9010314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10208016).

9010314 is an abundant number, since it is smaller than the sum of its proper divisors (11405718).

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

9010314 is a wasteful number, since it uses less digits than its factorization.

9010314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 9010314 is about 3001.7185077885. The cubic root of 9010314 is about 208.0878111731.

It can be divided in two parts, 90 and 10314, that added together give a square (10404 = 1022).

The spelling of 9010314 in words is "nine million, ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 83 111 163 166 222 249 326 333 489 498 666 747 978 1467 1494 2934 3071 6031 6142 9213 12062 13529 18093 18426 27058 27639 36186 40587 54279 55278 81174 108558 121761 243522 500573 1001146 1501719 3003438 4505157 9010314