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3678714 = 2321379199
BaseRepresentation
bin1110000010000111111010
320220220020200
432002013322
51420204324
6210503030
743161054
oct16020772
96826220
103678714
112092966
121294a76
139ba570
146ba8d4
154c9ec9
hex3821fa

3678714 has 48 divisors (see below), whose sum is σ = 8736000. Its totient is φ = 1111968.

The previous prime is 3678713. The next prime is 3678743. The reversal of 3678714 is 4178763.

3678714 = T84 + T85 + ... + T282.

3678714 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3678713) by changing a digit.

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, 18387 + ... + 18585.

It is an arithmetic number, because the mean of its divisors is an integer number (182000).

Almost surely, 23678714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3678714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368000).

3678714 is an abundant number, since it is smaller than the sum of its proper divisors (5057286).

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

3678714 is a wasteful number, since it uses less digits than its factorization.

3678714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 296 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 3678714 is about 1917.9973931161. The cubic root of 3678714 is about 154.3708664281.

The spelling of 3678714 in words is "three million, six hundred seventy-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 199 234 237 398 474 597 711 1027 1194 1422 1791 2054 2587 3081 3582 5174 6162 7761 9243 15522 15721 18486 23283 31442 46566 47163 94326 141489 204373 282978 408746 613119 1226238 1839357 3678714