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3234357 = 337109157
BaseRepresentation
bin1100010101101000110101
320002022201000
430111220311
51311444412
6153153513
736330420
oct14255065
96068630
103234357
11190a025
1210bb899
13893229
146029b7
1543d4dc
hex315a35

3234357 has 32 divisors (see below), whose sum is σ = 5561600. Its totient is φ = 1819584.

The previous prime is 3234337. The next prime is 3234373. The reversal of 3234357 is 7534323.

3234357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3234357 - 210 = 3233333 is a prime.

It is a super-2 number, since 2×32343572 = 20922130406898, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 39 + 213 + 313 + 45 + 313 + 5 + 75 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3234357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234307) 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 31 ways as a sum of consecutive naturals, for example, 20523 + ... + 20679.

It is an arithmetic number, because the mean of its divisors is an integer number (173800).

Almost surely, 23234357 is an apocalyptic number.

It is an amenable number.

3234357 is a deficient number, since it is larger than the sum of its proper divisors (2327243).

3234357 is a wasteful number, since it uses less digits than its factorization.

3234357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its digits is 7560, while the sum is 27.

The square root of 3234357 is about 1798.4318168894. The cubic root of 3234357 is about 147.8867681508.

It can be divided in two parts, 32343 and 57, that added together give a square (32400 = 1802).

The spelling of 3234357 in words is "three million, two hundred thirty-four thousand, three hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 109 157 189 327 471 763 981 1099 1413 2289 2943 3297 4239 6867 9891 17113 20601 29673 51339 119791 154017 359373 462051 1078119 3234357