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2714856 = 233314189
BaseRepresentation
bin1010010110110011101000
312002221002020
422112303220
51143333411
6134104440
732035014
oct12266350
95087066
102714856
111594791
12aab120
13740931
14509544
15389606
hex296ce8

2714856 has 64 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 844800.

The previous prime is 2714843. The next prime is 2714867. The reversal of 2714856 is 6584172.

2714856 is nontrivially palindromic in base 5.

2714856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30460 + ... + 30548.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22714856 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 2714856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2714856 is an abundant number, since it is smaller than the sum of its proper divisors (4542744).

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

2714856 is a wasteful number, since it uses less digits than its factorization.

2714856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 2714856 is about 1647.6820081557. The cubic root of 2714856 is about 139.5025885621.

It can be divided in two parts, 2714 and 856, that added together give a triangular number (3570 = T84).

The spelling of 2714856 in words is "two million, seven hundred fourteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 89 93 123 124 164 178 186 246 248 267 328 356 372 492 534 712 744 984 1068 1271 2136 2542 2759 3649 3813 5084 5518 7298 7626 8277 10168 10947 11036 14596 15252 16554 21894 22072 29192 30504 33108 43788 66216 87576 113119 226238 339357 452476 678714 904952 1357428 2714856