Base | Representation |
---|---|
bin | 1101101111000011… |
… | …00101000100000000 |
3 | 201000220111000212100 |
4 | 12313201211010000 |
5 | 110100221003014 |
6 | 3215414230400 |
7 | 350506653252 |
oct | 66741450400 |
9 | 21026430770 |
10 | 7374000384 |
11 | 31444816a3 |
12 | 1519655400 |
13 | 90694334a |
14 | 4dd4b3cd2 |
15 | 2d2594009 |
hex | 1b7865100 |
7374000384 has 81 divisors (see below), whose sum is σ = 21272951973. Its totient is φ = 2456626176.
The previous prime is 7374000373. The next prime is 7374000391. The reversal of 7374000384 is 4830004737.
The square root of 7374000384 is 85872.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 6967574784 + 406425600 = 83472^2 + 20160^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4120962 + ... + 4122750.
Almost surely, 27374000384 is an apocalyptic number.
7374000384 is the 85872-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 7374000384
7374000384 is an abundant number, since it is smaller than the sum of its proper divisors (13898951589).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7374000384 is an frugal number, since it uses more digits than its factorization.
7374000384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3600 (or 1794 counting only the distinct ones).
The product of its (nonzero) digits is 56448, while the sum is 36.
The cubic root of 7374000384 is about 1946.4102604262.
Multiplying 7374000384 by its sum of digits (36), we get a square (265464013824 = 5152322).
7374000384 divided by its sum of digits (36) gives a square (204833344 = 143122).
The spelling of 7374000384 in words is "seven billion, three hundred seventy-four million, three hundred eighty-four", and thus it is an aban number.
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