Search a number
-
+
378880560 = 24325526223
BaseRepresentation
bin10110100101010…
…100001000110000
3222101221010102100
4112211110020300
51233443134220
6101332420400
712250301022
oct2645241060
9871833370
10378880560
11184960633
12a6a77700
13606587a6
1438468012
15233e0d90
hex16954230

378880560 has 60 divisors (see below), whose sum is σ = 1272409632. Its totient is φ = 101034624.

The previous prime is 378880559. The next prime is 378880571. The reversal of 378880560 is 65088873.

378880560 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 80 + 560 = 666.

378880560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

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 11 ways as a sum of consecutive naturals, for example, 262392 + ... + 263831.

Almost surely, 2378880560 is an apocalyptic number.

378880560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378880560 is an abundant number, since it is smaller than the sum of its proper divisors (893529072).

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

378880560 is a wasteful number, since it uses less digits than its factorization.

378880560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526242 (or 526233 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 378880560 is about 19464.8544818604. The cubic root of 378880560 is about 723.6036922257.

It can be divided in two parts, 3788 and 80560, that added together give a palindrome (84348).

The spelling of 378880560 in words is "three hundred seventy-eight million, eight hundred eighty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 526223 1052446 1578669 2104892 2631115 3157338 4209784 4736007 5262230 6314676 7893345 8419568 9472014 10524460 12629352 15786690 18944028 21048920 23680035 25258704 31573380 37888056 42097840 47360070 63146760 75776112 94720140 126293520 189440280 378880560