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1678414050 = 232523729809
BaseRepresentation
bin110010000001010…
…1001000011100010
311022222020021020100
41210002221003202
511414133222200
6434314123230
756410166265
oct14402510342
94288207210
101678414050
1179146a355
123aa120516
1320995c311
1411cca6cdc
159c53cd00
hex640a90e2

1678414050 has 36 divisors (see below), whose sum is σ = 4509340290. Its totient is φ = 447576960.

The previous prime is 1678414043. The next prime is 1678414057. The reversal of 1678414050 is 504148761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1678414043) and next prime (1678414057).

It can be written as a sum of positive squares in 3 ways, for example, as 824780961 + 853633089 = 28719^2 + 29217^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1678413996 and 1678414014.

It is not an unprimeable number, because it can be changed into a prime (1678414057) 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 17 ways as a sum of consecutive naturals, for example, 1864455 + ... + 1865354.

Almost surely, 21678414050 is an apocalyptic number.

1678414050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1678414050 is an abundant number, since it is smaller than the sum of its proper divisors (2830926240).

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

1678414050 is a wasteful number, since it uses less digits than its factorization.

1678414050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729827 (or 3729819 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1678414050 is about 40968.4518867872. The cubic root of 1678414050 is about 1188.4101948811.

The spelling of 1678414050 in words is "one billion, six hundred seventy-eight million, four hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 3729809 7459618 11189427 18649045 22378854 33568281 37298090 55947135 67136562 93245225 111894270 167841405 186490450 279735675 335682810 559471350 839207025 1678414050