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2353257 = 32373701
BaseRepresentation
bin1000111110100001101001
311102120001200
420332201221
51100301012
6122234413
726000544
oct10764151
94376050
102353257
111368045
12955a09
1364517a
1445385b
153173dc
hex23e869

2353257 has 12 divisors (see below), whose sum is σ = 3413124. Its totient is φ = 1562400.

The previous prime is 2353223. The next prime is 2353279. The reversal of 2353257 is 7523532.

2353257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1687401 + 665856 = 1299^2 + 816^2 .

It is not a de Polignac number, because 2353257 - 26 = 2353193 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 212 + 35 + 58 + 36 + 212 + 59 + 73 .

It is a self number, because there is not a number n which added to its sum of digits gives 2353257.

It is not an unprimeable number, because it can be changed into a prime (2353217) 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 11 ways as a sum of consecutive naturals, for example, 3007 + ... + 3707.

It is an arithmetic number, because the mean of its divisors is an integer number (284427).

22353257 is an apocalyptic number.

It is an amenable number.

2353257 is a deficient number, since it is larger than the sum of its proper divisors (1059867).

2353257 is a wasteful number, since it uses less digits than its factorization.

2353257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1077 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 2353257 is about 1534.0329201161. The cubic root of 2353257 is about 133.0116823175.

Adding to 2353257 its reverse (7523532), we get a palindrome (9876789).

The spelling of 2353257 in words is "two million, three hundred fifty-three thousand, two hundred fifty-seven".

Divisors: 1 3 9 373 701 1119 2103 3357 6309 261473 784419 2353257