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2714208 = 25372577
BaseRepresentation
bin1010010110101001100000
312002220012020
422112221200
51143323313
6134101440
732033100
oct12265140
95086166
102714208
111594252
12aaa880
13740553
14509200
15389323
hex296a60

2714208 has 72 divisors (see below), whose sum is σ = 8302392. Its totient is φ = 774144.

The previous prime is 2714171. The next prime is 2714221. The reversal of 2714208 is 8024172.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4416 + ... + 4992.

It is an arithmetic number, because the mean of its divisors is an integer number (115311).

22714208 is an apocalyptic number.

2714208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2714208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151196).

2714208 is an abundant number, since it is smaller than the sum of its proper divisors (5588184).

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

2714208 is a wasteful number, since it uses less digits than its factorization.

2714208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2714208 is about 1647.4853565358. The cubic root of 2714208 is about 139.4914885417.

The spelling of 2714208 in words is "two million, seven hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 577 588 672 784 1154 1176 1568 1731 2308 2352 3462 4039 4616 4704 6924 8078 9232 12117 13848 16156 18464 24234 27696 28273 32312 48468 55392 56546 64624 84819 96936 113092 129248 169638 193872 226184 339276 387744 452368 678552 904736 1357104 2714208