Search a number
-
+
380418120 = 23345117413
BaseRepresentation
bin10110101011001…
…011100001001000
3222111211020120000
4112223023201020
51234341334440
6101425403000
712266333505
oct2653134110
9874736500
10380418120
11185810845
12a7499460
1360a765a4
14387484ac
15235e6730
hex16acb848

380418120 has 80 divisors (see below), whose sum is σ = 1278638460. Its totient is φ = 101443968.

The previous prime is 380418107. The next prime is 380418149. The reversal of 380418120 is 21814083.

380418120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 373030596 + 7387524 = 19314^2 + 2718^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55467 + ... + 61946.

Almost surely, 2380418120 is an apocalyptic number.

380418120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380418120 is an abundant number, since it is smaller than the sum of its proper divisors (898220340).

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

380418120 is a wasteful number, since it uses less digits than its factorization.

380418120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117436 (or 117423 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 380418120 is about 19504.3102928558. The cubic root of 380418120 is about 724.5812056142.

The spelling of 380418120 in words is "three hundred eighty million, four hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 117413 234826 352239 469652 587065 704478 939304 1056717 1174130 1408956 1761195 2113434 2348260 2817912 3170151 3522390 4226868 4696520 5283585 6340302 7044780 8453736 9510453 10567170 12680604 14089560 15850755 19020906 21134340 25361208 31701510 38041812 42268680 47552265 63403020 76083624 95104530 126806040 190209060 380418120