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319677012 = 223217351329
BaseRepresentation
bin10011000011011…
…110001001010100
3211021112021102100
4103003132021110
51123314131022
651415442100
710631131644
oct2303361124
9737467370
10319677012
111544a4086
128b086330
13512ca1c5
1430656524
151d0e91ac
hex130de254

319677012 has 36 divisors (see below), whose sum is σ = 812759220. Its totient is φ = 105940992.

The previous prime is 319677011. The next prime is 319677031. The reversal of 319677012 is 210776913.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 286083396 + 33593616 = 16914^2 + 5796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3196770123 (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319677011) 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 11 ways as a sum of consecutive naturals, for example, 19437 + ... + 31892.

It is an arithmetic number, because the mean of its divisors is an integer number (22576645).

Almost surely, 2319677012 is an apocalyptic number.

It is an amenable number.

319677012 is an abundant number, since it is smaller than the sum of its proper divisors (493082208).

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

319677012 is a wasteful number, since it uses less digits than its factorization.

319677012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51512 (or 51507 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 319677012 is about 17879.5137517775. The cubic root of 319677012 is about 683.7601754895.

It can be divided in two parts, 3196 and 77012, that added together give a palindrome (80208).

The spelling of 319677012 in words is "three hundred nineteen million, six hundred seventy-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 6228 51329 102658 153987 205316 307974 461961 615948 923922 1847844 8879917 17759834 26639751 35519668 53279502 79919253 106559004 159838506 319677012