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2864352 = 25329837
BaseRepresentation
bin1010111011010011100000
312101112011010
422323103200
51213124402
6141220520
733226611
oct12732340
95345133
102864352
111687037
12b61740
137939aa
14547c08
153b8a6c
hex2bb4e0

2864352 has 24 divisors (see below), whose sum is σ = 7519176. Its totient is φ = 954752.

The previous prime is 2864341. The next prime is 2864357. The reversal of 2864352 is 2534682.

2864352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×28643523 = 70501834333208346624, which contains 333 as substring.

It is a d-powerful number, because it can be written as 219 + 8 + 63 + 48 + 311 + 5 + 221 .

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864357) 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 3 ways as a sum of consecutive naturals, for example, 14823 + ... + 15014.

It is an arithmetic number, because the mean of its divisors is an integer number (313299).

22864352 is an apocalyptic number.

It is an amenable number.

2864352 is an abundant number, since it is smaller than the sum of its proper divisors (4654824).

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

2864352 is a wasteful number, since it uses less digits than its factorization.

2864352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29850 (or 29842 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2864352 is about 1692.4396591902. The cubic root of 2864352 is about 142.0175869244.

The spelling of 2864352 in words is "two million, eight hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 29837 59674 89511 119348 179022 238696 358044 477392 716088 954784 1432176 2864352