Search a number
-
+
2741734359 = 337135871901
BaseRepresentation
bin1010001101101011…
…1000101111010111
321002002001112111000
42203122320233113
521103340444414
61132020514343
7124641233430
oct24332705727
97062045430
102741734359
111187701671
1264624b9b3
13349039830
141c01b8487
15110a7ab09
hexa36b8bd7

2741734359 has 64 divisors (see below), whose sum is σ = 5010324480. Its totient is φ = 1442966400.

The previous prime is 2741734319. The next prime is 2741734423. The reversal of 2741734359 is 9534371472.

It is not a de Polignac number, because 2741734359 - 29 = 2741733847 is a prime.

It is a super-2 number, since 2×27417343592 = 15034214590642281762, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741734319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1441309 + ... + 1443209.

It is an arithmetic number, because the mean of its divisors is an integer number (78286320).

Almost surely, 22741734359 is an apocalyptic number.

2741734359 is a deficient number, since it is larger than the sum of its proper divisors (2268590121).

2741734359 is a wasteful number, since it uses less digits than its factorization.

2741734359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2511 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 2741734359 is about 52361.5733052398. The cubic root of 2741734359 is about 1399.6145808088.

It can be divided in two parts, 27417 and 34359, that added together give a triangular number (61776 = T351).

The spelling of 2741734359 in words is "two billion, seven hundred forty-one million, seven hundred thirty-four thousand, three hundred fifty-nine".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 587 819 1761 1901 2457 4109 5283 5703 7631 12327 13307 15849 17109 22893 24713 36981 39921 51327 53417 68679 74139 110943 119763 160251 172991 206037 222417 359289 480753 518973 667251 1115887 1442259 1556919 3347661 4670757 7811209 10042983 14506531 23433627 30128949 43519593 70300881 101545717 130558779 210902643 304637151 391676337 913911453 2741734359