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678014532 = 22321311171297
BaseRepresentation
bin101000011010011…
…010111001000100
31202020210201002100
4220122122321010
52342032431112
6151140112100
722542012516
oct5032327104
91666721070
10678014532
113187a3398
1216b095630
13aa612340
1466093bb6
153e7cd2dc
hex2869ae44

678014532 has 72 divisors (see below), whose sum is σ = 1848782936. Its totient is φ = 208272384.

The previous prime is 678014509. The next prime is 678014537. The reversal of 678014532 is 235410876.

It can be written as a sum of positive squares in 4 ways, for example, as 50211396 + 627803136 = 7086^2 + 25056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (678014537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522108 + ... + 523404.

Almost surely, 2678014532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678014532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924391468).

678014532 is an abundant number, since it is smaller than the sum of its proper divisors (1170768404).

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

678014532 is a wasteful number, since it uses less digits than its factorization.

678014532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 678014532 is about 26038.7121801367. The cubic root of 678014532 is about 878.5092408208.

It can be divided in two parts, 6780 and 14532, that added together give a palindrome (21312).

The spelling of 678014532 in words is "six hundred seventy-eight million, fourteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1117 1297 2234 2594 3351 3891 4468 5188 6702 7782 10053 11673 13404 14521 15564 16861 20106 23346 29042 33722 40212 43563 46692 50583 58084 67444 87126 101166 130689 151749 174252 202332 261378 303498 522756 606996 1448749 2897498 4346247 5794996 8692494 13038741 17384988 18833737 26077482 37667474 52154964 56501211 75334948 113002422 169503633 226004844 339007266 678014532