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180344142 = 2321137103239
BaseRepresentation
bin10101011111111…
…01010101001110
3110120100102122200
422233331111032
5332132003032
625521222330
74316620446
oct1257752516
9416312580
10180344142
1192888250
12504919a6
132b494714
1419d47126
1510c7547c
hexabfd54e

180344142 has 96 divisors (see below), whose sum is σ = 443888640. Its totient is φ = 52436160.

The previous prime is 180344119. The next prime is 180344147. The reversal of 180344142 is 241443081.

180344142 is a `hidden beast` number, since 180 + 3 + 441 + 42 = 666.

It is a super-3 number, since 3×1803441423 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180344147) 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, 754459 + ... + 754697.

It is an arithmetic number, because the mean of its divisors is an integer number (4623840).

Almost surely, 2180344142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180344142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221944320).

180344142 is an abundant number, since it is smaller than the sum of its proper divisors (263544498).

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

180344142 is a wasteful number, since it uses less digits than its factorization.

180344142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 180344142 is about 13429.2271557227. The cubic root of 180344142 is about 564.9812216068.

The spelling of 180344142 in words is "one hundred eighty million, three hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 103 111 198 206 222 239 309 333 407 478 618 666 717 814 927 1133 1221 1434 1854 2151 2266 2442 2629 3399 3663 3811 4302 5258 6798 7326 7622 7887 8843 10197 11433 15774 17686 20394 22866 23661 24617 26529 34299 41921 47322 49234 53058 68598 73851 79587 83842 97273 125763 147702 159174 194546 221553 251526 270787 291819 377289 443106 541574 583638 754578 812361 875457 910829 1624722 1750914 1821658 2437083 2732487 4874166 5464974 8197461 10019119 16394922 20038238 30057357 60114714 90172071 180344142