Search a number
-
+
380133600 = 25352711317
BaseRepresentation
bin10110101010000…
…110000011100000
3222111021210021020
4112222012003200
51234303233400
6101415325440
712264040140
oct2652060340
9874253236
10380133600
11185637000
12a7380880
13609a6c32
14386b2920
152358c2a0
hex16a860e0

380133600 has 576 divisors, whose sum is σ = 1646894592. Its totient is φ = 74342400.

The previous prime is 380133547. The next prime is 380133623. The reversal of 380133600 is 6331083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22360792 + ... + 22360808.

It is an arithmetic number, because the mean of its divisors is an integer number (2859192).

Almost surely, 2380133600 is an apocalyptic number.

380133600 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 380133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823447296).

380133600 is an abundant number, since it is smaller than the sum of its proper divisors (1266760992).

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

380133600 is a wasteful number, since it uses less digits than its factorization.

380133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 380133600 is about 19497.0151561720. The cubic root of 380133600 is about 724.4005191088.

Adding to 380133600 its reverse (6331083), we get a palindrome (386464683).

It can be divided in two parts, 3801 and 33600, that added together give a triangular number (37401 = T273).

The spelling of 380133600 in words is "three hundred eighty million, one hundred thirty-three thousand, six hundred".