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2742327 = 327192979
BaseRepresentation
bin1010011101100000110111
312011022202200
422131200313
51200223302
6134435543
732211060
oct12354067
95138680
102742327
111603395
12b02bb3
137502a3
14515567
1539281c
hex29d837

2742327 has 48 divisors (see below), whose sum is σ = 4992000. Its totient is φ = 1415232.

The previous prime is 2742323. The next prime is 2742343. The reversal of 2742327 is 7232472.

2742327 = T223 + T224 + ... + T301.

2742327 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2742327 - 22 = 2742323 is a prime.

2742327 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2742327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34674 + ... + 34752.

It is an arithmetic number, because the mean of its divisors is an integer number (104000).

22742327 is an apocalyptic number.

2742327 is a deficient number, since it is larger than the sum of its proper divisors (2249673).

2742327 is a wasteful number, since it uses less digits than its factorization.

2742327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 137 counting only the distinct ones).

The product of its digits is 4704, while the sum is 27.

The square root of 2742327 is about 1655.9972826065. The cubic root of 2742327 is about 139.9715418347.

Adding to 2742327 its reverse (7232472), we get a palindrome (9974799).

It can be divided in two parts, 274 and 2327, that added together give a square (2601 = 512).

The spelling of 2742327 in words is "two million, seven hundred forty-two thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 19 21 29 57 63 79 87 133 171 203 237 261 399 551 553 609 711 1197 1501 1653 1659 1827 2291 3857 4503 4959 4977 6873 10507 11571 13509 16037 20619 31521 34713 43529 48111 94563 130587 144333 304703 391761 914109 2742327