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678041946 = 2323710092
BaseRepresentation
bin101000011010100…
…001100101011010
31202020212002200200
4220122201211122
52342034320241
6151140443030
722542155451
oct5032414532
91666762620
10678041946
11318811a4a
1216b0a9476
13aa62196a
146609db98
153e7d64b6
hex286a195a

678041946 has 36 divisors (see below), whose sum is σ = 1510292862. Its totient is φ = 219687552.

The previous prime is 678041941. The next prime is 678041989. The reversal of 678041946 is 649140876.

It can be written as a sum of positive squares in 3 ways, for example, as 592386921 + 85655025 = 24339^2 + 9255^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (678041941) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 671490 + ... + 672498.

Almost surely, 2678041946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678041946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755146431).

678041946 is an abundant number, since it is smaller than the sum of its proper divisors (832250916).

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

678041946 is a wasteful number, since it uses less digits than its factorization.

678041946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 678041946 is about 26039.2385833380. The cubic root of 678041946 is about 878.5210808461.

The spelling of 678041946 in words is "six hundred seventy-eight million, forty-one thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1009 2018 3027 6054 9081 18162 37333 74666 111999 223998 335997 671994 1018081 2036162 3054243 6108486 9162729 18325458 37668997 75337994 113006991 226013982 339020973 678041946