Search a number
-
+
274741038 = 233111347757
BaseRepresentation
bin10000011000000…
…011011100101110
3201010222021212000
4100120003130232
51030313203123
643132353130
76544155165
oct2030033456
9633867760
10274741038
111310a2010
12780157a6
1344bc5a80
14286ba3dc
15191beb43
hex1060372e

274741038 has 128 divisors (see below), whose sum is σ = 733501440. Its totient is φ = 75116160.

The previous prime is 274741037. The next prime is 274741057. The reversal of 274741038 is 830147472.

It is a happy number.

It is a super-2 number, since 2×2747410382 = 150965275922634888, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 274740993 and 274741011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274741031) 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, 362556 + ... + 363312.

It is an arithmetic number, because the mean of its divisors is an integer number (5730480).

Almost surely, 2274741038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274741038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366750720).

274741038 is an abundant number, since it is smaller than the sum of its proper divisors (458760402).

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

274741038 is a wasteful number, since it uses less digits than its factorization.

274741038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 274741038 is about 16575.3141146706. The cubic root of 274741038 is about 650.0915358269.

The spelling of 274741038 in words is "two hundred seventy-four million, seven hundred forty-one thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 47 54 66 78 94 99 117 141 143 198 234 282 286 297 351 423 429 517 594 611 702 757 846 858 1034 1222 1269 1287 1514 1551 1833 2271 2538 2574 3102 3666 3861 4542 4653 5499 6721 6813 7722 8327 9306 9841 10998 13442 13626 13959 16497 16654 19682 20163 20439 24981 27918 29523 32994 35579 40326 40878 49962 59046 60489 71158 74943 88569 106737 108251 120978 149886 177138 181467 213474 216502 224829 265707 320211 324753 362934 391369 449658 462527 531414 640422 649506 782738 925054 960633 974259 1174107 1387581 1921266 1948518 2348214 2775162 2922777 3522321 4162743 5087797 5845554 7044642 8325486 10175594 10566963 12488229 15263391 21133926 24976458 30526782 45790173 91580346 137370519 274741038