Search a number
-
+
380096568 = 233241331389
BaseRepresentation
bin10110101001111…
…101000000111000
3222111012220110200
4112221331000320
51234301042233
6101414442200
712263524155
oct2651750070
9874186420
10380096568
111856111a5
12a7363360
1360993117
14386a322c
1523581313
hex16a7d038

380096568 has 96 divisors (see below), whose sum is σ = 1060441200. Its totient is φ = 122918400.

The previous prime is 380096543. The next prime is 380096569. The reversal of 380096568 is 865690083.

380096568 is a `hidden beast` number, since 3 + 80 + 0 + 9 + 6 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380096569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 976918 + ... + 977306.

Almost surely, 2380096568 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 380096568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530220600).

380096568 is an abundant number, since it is smaller than the sum of its proper divisors (680344632).

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

380096568 is a wasteful number, since it uses less digits than its factorization.

380096568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 380096568 is about 19496.0654492131. The cubic root of 380096568 is about 724.3769950362.

The spelling of 380096568 in words is "three hundred eighty million, ninety-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 331 369 389 492 662 738 778 984 993 1167 1324 1476 1556 1986 2334 2648 2952 2979 3112 3501 3972 4668 5958 7002 7944 9336 11916 13571 14004 15949 23832 27142 28008 31898 40713 47847 54284 63796 81426 95694 108568 122139 127592 128759 143541 162852 191388 244278 257518 287082 325704 382776 386277 488556 515036 574164 772554 977112 1030072 1148328 1158831 1545108 2317662 3090216 4635324 5279119 9270648 10558238 15837357 21116476 31674714 42232952 47512071 63349428 95024142 126698856 190048284 380096568