Search a number
-
+
380990052 = 2232192919207
BaseRepresentation
bin10110101101010…
…111001001100100
3222112220022002200
4112231113021210
51240013140202
6101445534500
712304235112
oct2655271144
9875808080
10380990052
11186071513
12a7714430
1360c16a01
1438856ab2
15236aae1c
hex16b57264

380990052 has 72 divisors (see below), whose sum is σ = 1048756800. Its totient is φ = 116157888.

The previous prime is 380990041. The next prime is 380990087. The reversal of 380990052 is 250099083.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 380989989 and 380990016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10233 + ... + 29439.

Almost surely, 2380990052 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 380990052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524378400).

380990052 is an abundant number, since it is smaller than the sum of its proper divisors (667766748).

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

380990052 is a wasteful number, since it uses less digits than its factorization.

380990052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19265 (or 19260 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 380990052 is about 19518.9664685403. The cubic root of 380990052 is about 724.9441428231.

The spelling of 380990052 in words is "three hundred eighty million, nine hundred ninety thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4959 6612 9918 19207 19836 38414 57621 76828 115242 172863 230484 345726 364933 557003 691452 729866 1094799 1114006 1459732 1671009 2189598 2228012 3284397 3342018 4379196 5013027 6568794 6684036 10026054 10583057 13137588 20052108 21166114 31749171 42332228 63498342 95247513 126996684 190495026 380990052