Search a number
-
+
380009700 = 223252731231
BaseRepresentation
bin10110101001100…
…111110011100100
3222111001111022100
4112221213303210
51234240302300
6101412532100
712263013000
oct2651476344
9874044270
10380009700
11185561a04
12a7321030
1360962715
143867d700
1523565700
hex16a67ce4

380009700 has 216 divisors, whose sum is σ = 1390188800. Its totient is φ = 86788800.

The previous prime is 380009677. The next prime is 380009701. The reversal of 380009700 is 7900083.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (380009701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 308085 + ... + 309315.

Almost surely, 2380009700 is an apocalyptic number.

380009700 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 380009700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695094400).

380009700 is an abundant number, since it is smaller than the sum of its proper divisors (1010179100).

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

380009700 is a wasteful number, since it uses less digits than its factorization.

380009700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 380009700 is about 19493.8374877806. The cubic root of 380009700 is about 724.3218073284.

Adding to 380009700 its reverse (7900083), we get a palindrome (387909783).

The spelling of 380009700 in words is "three hundred eighty million, nine thousand, seven hundred".