Search a number
-
+
380879082 = 232313791801
BaseRepresentation
bin10110101100111…
…100000011101010
3222112200122212200
4112230330003222
51240001112312
6101443321030
712303263433
oct2654740352
9875618780
10380879082
11185aa6101
12a7680176
1360ba834c
143882848a
15236880dc
hex16b3c0ea

380879082 has 48 divisors (see below), whose sum is σ = 854580480. Its totient is φ = 122472000.

The previous prime is 380879063. The next prime is 380879087. The reversal of 380879082 is 280978083.

It is a super-3 number, since 3×3808790823 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (380879087) 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, 210582 + ... + 212382.

It is an arithmetic number, because the mean of its divisors is an integer number (17803760).

Almost surely, 2380879082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380879082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427290240).

380879082 is an abundant number, since it is smaller than the sum of its proper divisors (473701398).

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

380879082 is a wasteful number, since it uses less digits than its factorization.

380879082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 380879082 is about 19516.1236417481. The cubic root of 380879082 is about 724.8737517784.

Subtracting from 380879082 its reverse (280978083), we obtain a palindrome (99900999).

The spelling of 380879082 in words is "three hundred eighty million, eight hundred seventy-nine thousand, eighty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 379 558 758 1137 1801 2274 3411 3602 5403 6822 10806 11749 16209 23498 32418 35247 55831 70494 105741 111662 167493 211482 334986 502479 682579 1004958 1365158 2047737 4095474 6143211 12286422 21159949 42319898 63479847 126959694 190439541 380879082