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319065552 = 243213170441
BaseRepresentation
bin10011000001001…
…000110111010000
3211020101012122200
4103001020313100
51123140044202
651354403200
710623004161
oct2301106720
9736335580
10319065552
11154116743
128aa30500
1351144ab0
1430537768
151d027e1c
hex13048dd0

319065552 has 60 divisors (see below), whose sum is σ = 961633764. Its totient is φ = 98173440.

The previous prime is 319065521. The next prime is 319065559. The reversal of 319065552 is 255560913.

319065552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 156350016 + 162715536 = 12504^2 + 12756^2 .

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 (319065559) 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 11 ways as a sum of consecutive naturals, for example, 83349 + ... + 87092.

Almost surely, 2319065552 is an apocalyptic number.

It is an amenable number.

319065552 is an abundant number, since it is smaller than the sum of its proper divisors (642568212).

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

319065552 is a wasteful number, since it uses less digits than its factorization.

319065552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170468 (or 170459 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 319065552 is about 17862.4061089205. The cubic root of 319065552 is about 683.3239447186.

The spelling of 319065552 in words is "three hundred nineteen million, sixty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 170441 340882 511323 681764 1022646 1363528 1533969 2045292 2215733 2727056 3067938 4090584 4431466 6135876 6647199 8181168 8862932 12271752 13294398 17725864 19941597 24543504 26588796 35451728 39883194 53177592 79766388 106355184 159532776 319065552