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2942874 = 2321189167
BaseRepresentation
bin1011001110011110011010
312112111212100
423032132122
51223132444
6143024230
734004544
oct13163632
95474770
102942874
111730030
12b9b076
137c065c
14568694
153d1e69
hex2ce79a

2942874 has 48 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 876480.

The previous prime is 2942843. The next prime is 2942881. The reversal of 2942874 is 4782492.

It is an Ulam number.

It is a d-powerful number, because it can be written as 27 + 95 + 43 + 219 + 87 + 72 + 49 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17539 + ... + 17705.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

22942874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2942874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2942874 is an abundant number, since it is smaller than the sum of its proper divisors (4133286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2942874 is a wasteful number, since it uses less digits than its factorization.

2942874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 272 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2942874 is about 1715.4806906520. The cubic root of 2942874 is about 143.3036402647.

The spelling of 2942874 in words is "two million, nine hundred forty-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 167 178 198 267 334 501 534 801 979 1002 1503 1602 1837 1958 2937 3006 3674 5511 5874 8811 11022 14863 16533 17622 29726 33066 44589 89178 133767 163493 267534 326986 490479 980958 1471437 2942874