Search a number
-
+
242274396 = 2237131911677
BaseRepresentation
bin11100111000011…
…01000001011100
3121212212210222210
432130031001130
5444010240041
640012440420
76001204230
oct1634150134
9555783883
10242274396
11114837381
1269179110
133b269140
14242685c0
151640a016
hexe70d05c

242274396 has 96 divisors (see below), whose sum is σ = 732444160. Its totient is φ = 60528384.

The previous prime is 242274379. The next prime is 242274469. The reversal of 242274396 is 693472242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 14910 + ... + 26586.

Almost surely, 2242274396 is an apocalyptic number.

242274396 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242274396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366222080).

242274396 is an abundant number, since it is smaller than the sum of its proper divisors (490169764).

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

242274396 is a wasteful number, since it uses less digits than its factorization.

242274396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11723 (or 11721 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 242274396 is about 15565.1661089755. The cubic root of 242274396 is about 623.4034094977.

The spelling of 242274396 in words is "two hundred forty-two million, two hundred seventy-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2964 3458 5187 6916 10374 11677 20748 23354 35031 46708 70062 81739 140124 151801 163478 221863 245217 303602 326956 443726 455403 490434 607204 665589 887452 910806 980868 1062607 1331178 1553041 1821612 2125214 2662356 2884219 3106082 3187821 4250428 4659123 5768438 6212164 6375642 8652657 9318246 11536876 12751284 17305314 18636492 20189533 34610628 40379066 60568599 80758132 121137198 242274396