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678414 = 231119541
BaseRepresentation
bin10100101101000001110
31021110121110
42211220032
5133202124
622312450
75523612
oct2455016
91243543
10678414
11423780
12288726
131a9a39
14139342
15d6029
hexa5a0e

678414 has 32 divisors (see below), whose sum is σ = 1560960. Its totient is φ = 194400.

The previous prime is 678413. The next prime is 678421. The reversal of 678414 is 414876.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984 + ... + 1524.

It is an arithmetic number, because the mean of its divisors is an integer number (48780).

2678414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780480).

678414 is an abundant number, since it is smaller than the sum of its proper divisors (882546).

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

678414 is a wasteful number, since it uses less digits than its factorization.

678414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its digits is 5376, while the sum is 30.

The square root of 678414 is about 823.6589099864. The cubic root of 678414 is about 87.8681738319.

The spelling of 678414 in words is "six hundred seventy-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 541 627 1082 1254 1623 3246 5951 10279 11902 17853 20558 30837 35706 61674 113069 226138 339207 678414