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2033397 = 33127593
BaseRepresentation
bin111110000011011110101
310211022022000
413300123311
51010032042
6111325513
723166162
oct7603365
93738260
102033397
1111697a3
12820899
135626c2
143ad069
152a274c
hex1f06f5

2033397 has 16 divisors (see below), whose sum is σ = 3041280. Its totient is φ = 1342656.

The previous prime is 2033389. The next prime is 2033401. The reversal of 2033397 is 7933302.

It is not a de Polignac number, because 2033397 - 23 = 2033389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2033397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3133 + ... + 3725.

It is an arithmetic number, because the mean of its divisors is an integer number (190080).

22033397 is an apocalyptic number.

2033397 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2033397 is a deficient number, since it is larger than the sum of its proper divisors (1007883).

2033397 is a wasteful number, since it uses less digits than its factorization.

2033397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 2033397 is about 1425.9722998712. The cubic root of 2033397 is about 126.6895303449.

Adding to 2033397 its reverse (7933302), we get a palindrome (9966699).

It can be divided in two parts, 203 and 3397, that added together give a square (3600 = 602).

The spelling of 2033397 in words is "two million, thirty-three thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 127 381 593 1143 1779 3429 5337 16011 75311 225933 677799 2033397