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3428271 = 337111797
BaseRepresentation
bin1101000100111110101111
320110011201000
431010332233
51334201041
6201251343
741065650
oct15047657
96404630
103428271
111a31790
121193b53
13930582
14653527
1547abb6
hex344faf

3428271 has 64 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 1658880.

The previous prime is 3428267. The next prime is 3428279. The reversal of 3428271 is 1728243.

3428271 is a nontrivial binomial coefficient, being equal to C(2619, 2).

It is not a de Polignac number, because 3428271 - 22 = 3428267 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428279) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35295 + ... + 35391.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 23428271 is an apocalyptic number.

3428271 is the 2618-th triangular number.

3428271 is a deficient number, since it is larger than the sum of its proper divisors (3345489).

3428271 is a wasteful number, since it uses less digits than its factorization.

3428271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 3428271 is about 1851.5590727816. The cubic root of 3428271 is about 150.7850837875.

The spelling of 3428271 in words is "three million, four hundred twenty-eight thousand, two hundred seventy-one".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 97 99 119 153 187 189 231 291 297 357 459 561 679 693 873 1067 1071 1309 1649 1683 2037 2079 2619 3201 3213 3927 4947 5049 6111 7469 9603 11543 11781 14841 18139 18333 22407 28809 34629 35343 44523 54417 67221 103887 126973 163251 201663 311661 380919 489753 1142757 3428271