Search a number
-
+
378747360 = 25335731201
BaseRepresentation
bin10110100100110…
…011100111100000
3222101200100201000
4112210303213200
51233424403420
6101325512000
712246204465
oct2644634740
9871610630
10378747360
1118487a552
12a6a12600
136060cc84
143843166c
15233b6690
hex169339e0

378747360 has 192 divisors, whose sum is σ = 1344893760. Its totient is φ = 99532800.

The previous prime is 378747293. The next prime is 378747361. The reversal of 378747360 is 63747873.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378747361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314760 + ... + 315960.

It is an arithmetic number, because the mean of its divisors is an integer number (7004655).

Almost surely, 2378747360 is an apocalyptic number.

378747360 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 378747360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672446880).

378747360 is an abundant number, since it is smaller than the sum of its proper divisors (966146400).

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

378747360 is a wasteful number, since it uses less digits than its factorization.

378747360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 378747360 is about 19461.4326296910. The cubic root of 378747360 is about 723.5188851042.

The spelling of 378747360 in words is "three hundred seventy-eight million, seven hundred forty-seven thousand, three hundred sixty".