Search a number
-
+
455456344 = 23743732591
BaseRepresentation
bin11011001001011…
…011011001011000
31011202000120122111
4123021123121120
51413044100334
6113110002104
714200213030
oct3311333130
91152016574
10455456344
11214103102
12108646334
137348a3c5
14446bc8c0
1529eba064
hex1b25b658

455456344 has 64 divisors (see below), whose sum is σ = 1012746240. Its totient is φ = 187971840.

The previous prime is 455456329. The next prime is 455456389. The reversal of 455456344 is 443654554.

It is a junction number, because it is equal to n+sod(n) for n = 455456297 and 455456306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174489 + ... + 177079.

It is an arithmetic number, because the mean of its divisors is an integer number (15824160).

Almost surely, 2455456344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455456344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506373120).

455456344 is an abundant number, since it is smaller than the sum of its proper divisors (557289896).

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

455456344 is a wasteful number, since it uses less digits than its factorization.

455456344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2716 counting only the distinct ones).

The product of its digits is 576000, while the sum is 40.

The square root of 455456344 is about 21341.4231952792. The cubic root of 455456344 is about 769.3942185410.

The spelling of 455456344 in words is "four hundred fifty-five million, four hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 56 73 86 146 172 292 301 344 511 584 602 1022 1204 2044 2408 2591 3139 4088 5182 6278 10364 12556 18137 20728 21973 25112 36274 43946 72548 87892 111413 145096 175784 189143 222826 378286 445652 756572 779891 891304 1324001 1513144 1559782 2648002 3119564 5296004 6239128 8133149 10592008 16266298 32532596 56932043 65065192 113864086 227728172 455456344