Search a number
-
+
243472644 = 22326763129
BaseRepresentation
bin11101000001100…
…01100100000100
3121222010200200100
432200301210010
5444312111034
640054244100
76014324532
oct1640614404
9558120610
10243472644
11115485668
1269656630
133b59866c
142449b152
1516595099
hexe831904

243472644 has 18 divisors (see below), whose sum is σ = 615444830. Its totient is φ = 81157536.

The previous prime is 243472639. The next prime is 243472679. The reversal of 243472644 is 446274342.

243472644 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 7 + 2 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126832644 + 116640000 = 11262^2 + 10800^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6763129 = 243472644 / (2 + 4 + 3 + 4 + 7 + 2 + 6 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 243472599 and 243472608.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3381529 + ... + 3381600.

Almost surely, 2243472644 is an apocalyptic number.

It is an amenable number.

243472644 is an abundant number, since it is smaller than the sum of its proper divisors (371972186).

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

243472644 is a wasteful number, since it uses less digits than its factorization.

243472644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763139 (or 6763134 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 243472644 is about 15603.6099669275. The cubic root of 243472644 is about 624.4294688960.

It can be divided in two parts, 2434 and 72644, that added together give a triangular number (75078 = T387).

The spelling of 243472644 in words is "two hundred forty-three million, four hundred seventy-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6763129 13526258 20289387 27052516 40578774 60868161 81157548 121736322 243472644