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643314 = 23717253
BaseRepresentation
bin10011101000011110010
31012200110110
42131003302
5131041224
621442150
75316360
oct2350362
91180413
10643314
113aa371
12270356
13196a79
1412a630
15ca929
hex9d0f2

643314 has 48 divisors (see below), whose sum is σ = 1591488. Its totient is φ = 169728.

The previous prime is 643303. The next prime is 643369. The reversal of 643314 is 413346.

643314 is digitally balanced in base 2, 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 a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 643314.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12112 + ... + 12164.

It is an arithmetic number, because the mean of its divisors is an integer number (33156).

2643314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795744).

643314 is an abundant number, since it is smaller than the sum of its proper divisors (948174).

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

643314 is a wasteful number, since it uses less digits than its factorization.

643314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 643314 is about 802.0685756218. The cubic root of 643314 is about 86.3258773577.

The spelling of 643314 in words is "six hundred forty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 53 102 106 119 159 238 289 318 357 371 578 714 742 867 901 1113 1734 1802 2023 2226 2703 4046 5406 6069 6307 12138 12614 15317 18921 30634 37842 45951 91902 107219 214438 321657 643314