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3281157 = 3211223131
BaseRepresentation
bin1100100001000100000101
320011200220100
430201010011
51314444112
6154154313
736614025
oct14410405
96150810
103281157
111941200
121122999
138ab619
14615a85
1544c2dc
hex321105

3281157 has 36 divisors (see below), whose sum is σ = 5477472. Its totient is φ = 1887600.

The previous prime is 3281149. The next prime is 3281171. The reversal of 3281157 is 7511823.

It is not a de Polignac number, because 3281157 - 23 = 3281149 is a prime.

Its product of digits (1680) is a multiple of the sum of its prime divisors (168).

3281157 is a lucky number.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 3281157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3281137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24982 + ... + 25112.

It is an arithmetic number, because the mean of its divisors is an integer number (152152).

Almost surely, 23281157 is an apocalyptic number.

It is an amenable number.

3281157 is a deficient number, since it is larger than the sum of its proper divisors (2196315).

3281157 is a wasteful number, since it uses less digits than its factorization.

3281157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 3281157 is about 1811.3964226530. The cubic root of 3281157 is about 148.5966449081.

It can be divided in two parts, 328 and 1157, that added together give a triangular number (1485 = T54).

The spelling of 3281157 in words is "three million, two hundred eighty-one thousand, one hundred fifty-seven".

Divisors: 1 3 9 11 23 33 69 99 121 131 207 253 363 393 759 1089 1179 1441 2277 2783 3013 4323 8349 9039 12969 15851 25047 27117 33143 47553 99429 142659 298287 364573 1093719 3281157