Search a number
-
+
331866072 = 2335533221
BaseRepresentation
bin10011110001111…
…101111111011000
3212010110112200000
4103301331333120
51134424203242
652533013000
711136546366
oct2361757730
9763415600
10331866072
1116036998a
1293184160
13539a7275
143210a636
151e205a4c
hex13c7dfd8

331866072 has 96 divisors (see below), whose sum is σ = 949974480. Its totient is φ = 108501120.

The previous prime is 331866043. The next prime is 331866083. The reversal of 331866072 is 270668133.

It is a happy number.

331866072 is a `hidden beast` number, since 33 + 18 + 6 + 607 + 2 = 666.

It is a super-2 number, since 2×3318660722 = 220270179489418368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101422 + ... + 104642.

Almost surely, 2331866072 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 331866072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474987240).

331866072 is an abundant number, since it is smaller than the sum of its proper divisors (618108408).

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

331866072 is a wasteful number, since it uses less digits than its factorization.

331866072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 331866072 is about 18217.1916606265. The cubic root of 331866072 is about 692.3424357948.

The spelling of 331866072 in words is "three hundred thirty-one million, eight hundred sixty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 954 972 1272 1431 1908 1944 2862 3221 3816 4293 5724 6442 8586 9663 11448 12879 12884 17172 19326 25758 25768 28989 34344 38652 51516 57978 77304 86967 103032 115956 170713 173934 231912 260901 341426 347868 512139 521802 682852 695736 782703 1024278 1043604 1365704 1536417 1565406 2048556 2087208 3072834 3130812 4097112 4609251 6145668 6261624 9218502 12291336 13827753 18437004 27655506 36874008 41483259 55311012 82966518 110622024 165933036 331866072