Search a number
-
+
1342757493 = 36711191259
BaseRepresentation
bin101000000001000…
…1101101001110101
310110120122011000000
41100002031221311
510222221214433
6341123541513
745163151610
oct12002155165
93416564000
101342757493
11629a51640
1231582a899
1318525897c
14ca491177
157cd39113
hex5008da75

1342757493 has 112 divisors (see below), whose sum is σ = 2644185600. Its totient is φ = 660299040.

The previous prime is 1342757489. The next prime is 1342757501. The reversal of 1342757493 is 3947572431.

1342757493 is a `hidden beast` number, since 134 + 27 + 5 + 7 + 493 = 666.

It is not a de Polignac number, because 1342757493 - 22 = 1342757489 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342757443) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 1065898 + ... + 1067156.

It is an arithmetic number, because the mean of its divisors is an integer number (23608800).

Almost surely, 21342757493 is an apocalyptic number.

It is an amenable number.

1342757493 is a deficient number, since it is larger than the sum of its proper divisors (1301428107).

1342757493 is a wasteful number, since it uses less digits than its factorization.

1342757493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1299 counting only the distinct ones).

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

The square root of 1342757493 is about 36643.6555627301. The cubic root of 1342757493 is about 1103.2294880607.

The spelling of 1342757493 in words is "one billion, three hundred forty-two million, seven hundred fifty-seven thousand, four hundred ninety-three".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 81 99 133 171 189 209 231 243 297 399 513 567 627 693 729 891 1197 1259 1463 1539 1701 1881 2079 2673 3591 3777 4389 4617 5103 5643 6237 8019 8813 10773 11331 13167 13849 13851 16929 18711 23921 26439 32319 33993 39501 41547 50787 56133 71763 79317 96943 96957 101979 118503 124641 152361 167447 215289 237951 263131 290829 305937 355509 373923 502341 645867 713853 789393 872487 917811 1066527 1121769 1507023 1841917 1937601 2141559 2368179 2617461 3365307 4521069 5525751 5812803 6424677 7104537 7852383 10095921 13563207 16577253 17438409 21313611 23557149 40689621 49731759 63940833 70671447 122068863 149195277 191822499 447585831 1342757493