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319477140 = 2232510117573
BaseRepresentation
bin10011000010101…
…101010110010100
3211021011010020200
4103002231112110
51123241232030
651411300500
710626340143
oct2302552624
9737133220
10319477140
111543779a4
128abaa730
135125a238
143060375a
151d0a9d60
hex130ad594

319477140 has 72 divisors (see below), whose sum is σ = 978731208. Its totient is φ = 84345600.

The previous prime is 319477139. The next prime is 319477157. The reversal of 319477140 is 41774913.

It can be written as a sum of positive squares in 4 ways, for example, as 137874564 + 181602576 = 11742^2 + 13476^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 319477095 and 319477104.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9394 + ... + 26966.

It is an arithmetic number, because the mean of its divisors is an integer number (13593489).

Almost surely, 2319477140 is an apocalyptic number.

319477140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319477140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489365604).

319477140 is an abundant number, since it is smaller than the sum of its proper divisors (659254068).

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

319477140 is a wasteful number, since it uses less digits than its factorization.

319477140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17689 (or 17684 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 319477140 is about 17873.9234640859. The cubic root of 319477140 is about 683.6176430782.

The spelling of 319477140 in words is "three hundred nineteen million, four hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 17573 18180 35146 52719 70292 87865 105438 158157 175730 210876 263595 316314 351460 527190 632628 790785 1054380 1581570 1774873 3163140 3549746 5324619 7099492 8874365 10649238 15973857 17748730 21298476 26623095 31947714 35497460 53246190 63895428 79869285 106492380 159738570 319477140