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630072468 = 223217502013
BaseRepresentation
bin100101100011100…
…010010010010100
31121220120222221100
4211203202102110
52242244304333
6142304350100
721420345654
oct4543422224
91556528840
10630072468
112a3728853
12157015330
13a06c785c
145d974364
153a4ad213
hex258e2494

630072468 has 18 divisors (see below), whose sum is σ = 1592683274. Its totient is φ = 210024144.

The previous prime is 630072439. The next prime is 630072481. The reversal of 630072468 is 864270036.

It can be written as a sum of positive squares in only one way, i.e., 563682564 + 66389904 = 23742^2 + 8148^2 .

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

It is a super-2 number, since 2×6300724682 = 793982629863222048, which contains 22 as substring.

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: 17502013 = 630072468 / (6 + 3 + 0 + 0 + 7 + 2 + 4 + 6 + 8).

It is a congruent number.

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, 8750971 + ... + 8751042.

Almost surely, 2630072468 is an apocalyptic number.

It is an amenable number.

630072468 is an abundant number, since it is smaller than the sum of its proper divisors (962610806).

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

630072468 is a wasteful number, since it uses less digits than its factorization.

630072468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17502023 (or 17502018 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 630072468 is about 25101.2443516253. The cubic root of 630072468 is about 857.2947568412.

The spelling of 630072468 in words is "six hundred thirty million, seventy-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 17502013 35004026 52506039 70008052 105012078 157518117 210024156 315036234 630072468