Search a number
-
+
378000060 = 223519331579
BaseRepresentation
bin10110100001111…
…101001010111100
3222100021101121020
4112201331022330
51233232000220
6101301504140
712236642664
oct2641751274
9870241536
10378000060
1118440a049
12a6712050
136040aa99
14382b91a4
15232ba040
hex1687d2bc

378000060 has 48 divisors (see below), whose sum is σ = 1114108800. Its totient is φ = 95494464.

The previous prime is 378000043. The next prime is 378000061. The reversal of 378000060 is 60000873.

378000060 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

378000060 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378000061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164650 + ... + 166929.

It is an arithmetic number, because the mean of its divisors is an integer number (23210600).

Almost surely, 2378000060 is an apocalyptic number.

378000060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378000060 is an abundant number, since it is smaller than the sum of its proper divisors (736108740).

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

378000060 is a wasteful number, since it uses less digits than its factorization.

378000060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331610 (or 331608 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 378000060 is about 19442.2236382570. The cubic root of 378000060 is about 723.0427175088.

The spelling of 378000060 in words is "three hundred seventy-eight million, sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 331579 663158 994737 1326316 1657895 1989474 3315790 3978948 4973685 6300001 6631580 9947370 12600002 18900003 19894740 25200004 31500005 37800006 63000010 75600012 94500015 126000020 189000030 378000060