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310331142 = 233111931887
BaseRepresentation
bin10010011111110…
…100011100000110
3210121221110022000
4102133310130012
51113421044032
650443250130
710455525342
oct2237643406
9717843260
10310331142
1114a1a0420
1287b19946
134c3a72c4
142d302622
151c39ee7c
hex127f4706

310331142 has 128 divisors (see below), whose sum is σ = 818380800. Its totient is φ = 86119200.

The previous prime is 310331089. The next prime is 310331171. The reversal of 310331142 is 241133013.

310331142 is a `hidden beast` number, since 310 + 3 + 311 + 42 = 666.

310331142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349423 + ... + 350309.

It is an arithmetic number, because the mean of its divisors is an integer number (6393600).

Almost surely, 2310331142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310331142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409190400).

310331142 is an abundant number, since it is smaller than the sum of its proper divisors (508049658).

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

310331142 is a wasteful number, since it uses less digits than its factorization.

310331142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 310331142 is about 17616.2181526002. The cubic root of 310331142 is about 677.0308417956.

Adding to 310331142 its reverse (241133013), we get a palindrome (551464155).

The spelling of 310331142 in words is "three hundred ten million, three hundred thirty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 31 33 38 54 57 62 66 93 99 114 171 186 198 209 279 297 341 342 418 513 558 589 594 627 682 837 887 1023 1026 1178 1254 1674 1767 1774 1881 2046 2661 3069 3534 3762 5301 5322 5643 6138 6479 7983 9207 9757 10602 11286 12958 15903 15966 16853 18414 19437 19514 23949 27497 29271 31806 33706 38874 47898 50559 54994 58311 58542 82491 87813 101118 116622 151677 164982 174933 175626 185383 247473 263439 302467 303354 349866 370766 455031 494946 522443 526878 556149 604934 742419 907401 910062 1044886 1112298 1484838 1567329 1668447 1814802 2722203 3134658 3336894 4701987 5005341 5444406 5746873 8166609 9403974 10010682 11493746 14105961 16333218 17240619 28211922 34481238 51721857 103443714 155165571 310331142