Search a number
-
+
381073392 = 243272531019
BaseRepresentation
bin10110101101101…
…011011111110000
3222120001112102100
4112231223133300
51240023322032
6101451420400
712305033100
oct2655533760
9876045370
10381073392
11186119097
12a7754700
1360c4591b
1438879200
15236c597c
hex16b6b7f0

381073392 has 180 divisors, whose sum is σ = 1265242680. Its totient is φ = 106718976.

The previous prime is 381073387. The next prime is 381073417. The reversal of 381073392 is 293370183.

It is a happy number.

381073392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373459 + ... + 374477.

It is an arithmetic number, because the mean of its divisors is an integer number (7029126).

Almost surely, 2381073392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381073392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632621340).

381073392 is an abundant number, since it is smaller than the sum of its proper divisors (884169288).

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

381073392 is a wasteful number, since it uses less digits than its factorization.

381073392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 381073392 is about 19521.1011984468. The cubic root of 381073392 is about 724.9969984814.

The spelling of 381073392 in words is "three hundred eighty-one million, seventy-three thousand, three hundred ninety-two".