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8140314 = 2371317877
BaseRepresentation
bin11111000011011000011010
3120022120102010
4133003120122
54040442224
6450250350
7126122460
oct37033032
916276363
108140314
11465aa36
1228869b6
1318c0270
14111c830
15aabe29
hex7c361a

8140314 has 64 divisors (see below), whose sum is σ = 21240576. Its totient is φ = 2018304.

The previous prime is 8140313. The next prime is 8140339. The reversal of 8140314 is 4130418.

8140314 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (8140313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8844 + ... + 9720.

It is an arithmetic number, because the mean of its divisors is an integer number (331884).

Almost surely, 28140314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10620288).

8140314 is an abundant number, since it is smaller than the sum of its proper divisors (13100262).

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

8140314 is a wasteful number, since it uses less digits than its factorization.

8140314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8140314 is about 2853.1235514783. The cubic root of 8140314 is about 201.1625130581.

The spelling of 8140314 in words is "eight million, one hundred forty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 877 1326 1547 1754 2631 3094 4641 5262 6139 9282 11401 12278 14909 18417 22802 29818 34203 36834 44727 68406 79807 89454 104363 159614 193817 208726 239421 313089 387634 478842 581451 626178 1162902 1356719 2713438 4070157 8140314