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319450240 = 275499141
BaseRepresentation
bin10011000010100…
…110110010000000
3211021002202100101
4103002212302000
51123234401430
651410532144
710626165544
oct2302466200
9737082311
10319450240
1115435976a
128ab97054
135124ac15
14305d7a24
151d0a1dca
hex130a6c80

319450240 has 32 divisors (see below), whose sum is σ = 763687260. Its totient is φ = 127779840.

The previous prime is 319450237. The next prime is 319450259. The reversal of 319450240 is 42054913.

It can be written as a sum of positive squares in 2 ways, for example, as 298874944 + 20575296 = 17288^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 319450199 and 319450208.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 248931 + ... + 250210.

Almost surely, 2319450240 is an apocalyptic number.

It is an amenable number.

319450240 is an abundant number, since it is smaller than the sum of its proper divisors (444237020).

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

319450240 is an equidigital number, since it uses as much as digits as its factorization.

319450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499160 (or 499148 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 319450240 is about 17873.1709553733. The cubic root of 319450240 is about 683.5984556535.

The spelling of 319450240 in words is "three hundred nineteen million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 499141 998282 1996564 2495705 3993128 4991410 7986256 9982820 15972512 19965640 31945024 39931280 63890048 79862560 159725120 319450240