Search a number
-
+
319455440 = 2453993193
BaseRepresentation
bin10011000010101…
…000000011010000
3211021010000110222
4103002220003100
51123240033230
651411012212
710626216653
oct2302500320
9737100428
10319455440
11154362667
128ab9a068
13512503b5
14305d989a
151d0a36e5
hex130a80d0

319455440 has 20 divisors (see below), whose sum is σ = 742734084. Its totient is φ = 127782144.

The previous prime is 319455439. The next prime is 319455467. The reversal of 319455440 is 44554913.

It can be written as a sum of positive squares in 2 ways, for example, as 246113344 + 73342096 = 15688^2 + 8564^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 319455440.

It is a congruent number.

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, 1996517 + ... + 1996676.

Almost surely, 2319455440 is an apocalyptic number.

It is an amenable number.

319455440 is an abundant number, since it is smaller than the sum of its proper divisors (423278644).

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

319455440 is a wasteful number, since it uses less digits than its factorization.

319455440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993206 (or 3993200 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 319455440 is about 17873.3164242118. The cubic root of 319455440 is about 683.6021648307.

The spelling of 319455440 in words is "three hundred nineteen million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3993193 7986386 15972772 19965965 31945544 39931930 63891088 79863860 159727720 319455440