Search a number
-
+
380116800 = 2634527419
BaseRepresentation
bin10110101010000…
…001111101000000
3222111020221020000
4112222001331000
51234302214200
6101415120000
712263640150
oct2652017500
9874227200
10380116800
11185625418
12a7373000
136099c3ab
14386aa760
1523587300
hex16a81f40

380116800 has 420 divisors, whose sum is σ = 1600626720. Its totient is φ = 86676480.

The previous prime is 380116757. The next prime is 380116801. The reversal of 380116800 is 8611083.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380116801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906991 + ... + 907409.

It is an arithmetic number, because the mean of its divisors is an integer number (3811016).

Almost surely, 2380116800 is an apocalyptic number.

380116800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800313360).

380116800 is an abundant number, since it is smaller than the sum of its proper divisors (1220509920).

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

380116800 is a wasteful number, since it uses less digits than its factorization.

380116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 380116800 is about 19496.5843162334. The cubic root of 380116800 is about 724.3898473275.

Adding to 380116800 its reverse (8611083), we get a palindrome (388727883).

The spelling of 380116800 in words is "three hundred eighty million, one hundred sixteen thousand, eight hundred".