Search a number
-
+
180341312 = 2619433449
BaseRepresentation
bin10101011111111…
…00101001000000
3110120100021202212
422233330221000
5332131410222
625521201252
74316606264
oct1257745100
9416307685
10180341312
1192886108
1250490228
132b493348
1419d460a4
1510c746e2
hexabfca40

180341312 has 56 divisors (see below), whose sum is σ = 385572000. Its totient is φ = 83414016.

The previous prime is 180341311. The next prime is 180341377. The reversal of 180341312 is 213143081.

180341312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1803413124 (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (180341311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50564 + ... + 54012.

Almost surely, 2180341312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192786000).

180341312 is an abundant number, since it is smaller than the sum of its proper divisors (205230688).

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

180341312 is a wasteful number, since it uses less digits than its factorization.

180341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 180341312 is about 13429.1217881141. The cubic root of 180341312 is about 564.9782663214.

Adding to 180341312 its reverse (213143081), we get a palindrome (393484393).

The spelling of 180341312 in words is "one hundred eighty million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 152 172 304 344 608 688 817 1216 1376 1634 2752 3268 3449 6536 6898 13072 13796 26144 27592 52288 55184 65531 110368 131062 148307 220736 262124 296614 524248 593228 1048496 1186456 2096992 2372912 2817833 4193984 4745824 5635666 9491648 11271332 22542664 45085328 90170656 180341312