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2857344 = 27371063
BaseRepresentation
bin1010111001100110000000
312101011112120
422321212000
51212413334
6141124240
733200310
oct12714600
95334476
102857344
111681846
12b59680
13790749
14545440
153b6949
hex2b9980

2857344 has 64 divisors (see below), whose sum is σ = 8682240. Its totient is φ = 815616.

The previous prime is 2857339. The next prime is 2857357. The reversal of 2857344 is 4437582.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2157 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (135660).

22857344 is an apocalyptic number.

2857344 is a gapful number since it is divisible by the number (24) 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 2857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341120).

2857344 is an abundant number, since it is smaller than the sum of its proper divisors (5824896).

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

2857344 is a wasteful number, since it uses less digits than its factorization.

2857344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1075 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 2857344 is about 1690.3680072694. The cubic root of 2857344 is about 141.9016710000.

The spelling of 2857344 in words is "two million, eight hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1063 1344 2126 2688 3189 4252 6378 7441 8504 12756 14882 17008 22323 25512 29764 34016 44646 51024 59528 68032 89292 102048 119056 136064 178584 204096 238112 357168 408192 476224 714336 952448 1428672 2857344