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2348992 = 26172127
BaseRepresentation
bin1000111101011111000000
311102100012201
420331133000
51100131432
6122202544
725652242
oct10753700
94370181
102348992
111364918
12953454
13643249
14452092
15315ee7
hex23d7c0

2348992 has 42 divisors (see below), whose sum is σ = 4990592. Its totient is φ = 1096704.

The previous prime is 2348987. The next prime is 2348999. The reversal of 2348992 is 2998432.

2348992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348999) 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 5 ways as a sum of consecutive naturals, for example, 18433 + ... + 18559.

22348992 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 2348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495296).

2348992 is an abundant number, since it is smaller than the sum of its proper divisors (2641600).

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

2348992 is a wasteful number, since it uses less digits than its factorization.

2348992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 2348992 is about 1532.6421630635. The cubic root of 2348992 is about 132.9312777422.

The spelling of 2348992 in words is "two million, three hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 136 254 272 289 508 544 578 1016 1088 1156 2032 2159 2312 4064 4318 4624 8128 8636 9248 17272 18496 34544 36703 69088 73406 138176 146812 293624 587248 1174496 2348992