Search a number
-
+
454160344 = 2311191491823
BaseRepresentation
bin11011000100011…
…110111111011000
31011122120201212111
4123010132333120
51412231112334
6113022122104
714153204431
oct3304367730
91148521774
10454160344
112133a8430
12108120334
1373125541
1444462488
1529d11064
hex1b11efd8

454160344 has 64 divisors (see below), whose sum is σ = 984960000. Its totient is φ = 194152320.

The previous prime is 454160327. The next prime is 454160351. The reversal of 454160344 is 443061454.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248217 + ... + 250039.

It is an arithmetic number, because the mean of its divisors is an integer number (15390000).

Almost surely, 2454160344 is an apocalyptic number.

454160344 is a gapful number since it is divisible by the number (44) 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 454160344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480000).

454160344 is an abundant number, since it is smaller than the sum of its proper divisors (530799656).

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

454160344 is a wasteful number, since it uses less digits than its factorization.

454160344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 454160344 is about 21311.0380788924. The cubic root of 454160344 is about 768.6637554205.

The spelling of 454160344 in words is "four hundred fifty-four million, one hundred sixty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 149 152 209 298 418 596 836 1192 1639 1672 1823 2831 3278 3646 5662 6556 7292 11324 13112 14584 20053 22648 31141 34637 40106 62282 69274 80212 124564 138548 160424 249128 271627 277096 381007 543254 762014 1086508 1524028 2173016 2987897 3048056 5160913 5975794 10321826 11951588 20643652 23903176 41287304 56770043 113540086 227080172 454160344