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684478016 = 26313359
BaseRepresentation
bin101000110011000…
…100111001000000
31202200222002022122
4220303010321000
52400211244031
6151530423412
722650652505
oct5063047100
91680862278
10684478016
11321408512
12171291b68
13aba662a1
1466c974ac
154015847b
hex28cc4e40

684478016 has 56 divisors (see below), whose sum is σ = 1407444480. Its totient is φ = 330276480.

The previous prime is 684477991. The next prime is 684478019. The reversal of 684478016 is 610874486.

It is a super-3 number, since 3×6844780163 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (684478019) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1906445 + ... + 1906803.

Almost surely, 2684478016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703722240).

684478016 is an abundant number, since it is smaller than the sum of its proper divisors (722966464).

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

684478016 is an frugal number, since it uses more digits than its factorization.

684478016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 684478016 is about 26162.5307644349. The cubic root of 684478016 is about 881.2920139854.

The spelling of 684478016 in words is "six hundred eighty-four million, four hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 359 496 718 961 992 1436 1922 1984 2872 3844 5744 7688 11129 11488 15376 22258 22976 29791 30752 44516 59582 61504 89032 119164 178064 238328 344999 356128 476656 689998 712256 953312 1379996 1906624 2759992 5519984 10694969 11039968 21389938 22079936 42779876 85559752 171119504 342239008 684478016