Search a number
-
+
272323296 = 253575003
BaseRepresentation
bin10000001110110…
…101001011100000
3200222102110100000
4100032311023200
51024203321141
643004500000
76514465320
oct2016651340
9628373300
10272323296
1112a7a0583
127724a600
134455a45b
142824b280
1518d935b6
hex103b52e0

272323296 has 144 divisors (see below), whose sum is σ = 918013824. Its totient is φ = 77791104.

The previous prime is 272323273. The next prime is 272323301. The reversal of 272323296 is 692323272.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 272323296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51931 + ... + 56933.

It is an arithmetic number, because the mean of its divisors is an integer number (6375096).

Almost surely, 2272323296 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 272323296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459006912).

272323296 is an abundant number, since it is smaller than the sum of its proper divisors (645690528).

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

272323296 is an equidigital number, since it uses as much as digits as its factorization.

272323296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5015 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 272323296 is about 16502.2209414369. The cubic root of 272323296 is about 648.1789629156.

The spelling of 272323296 in words is "two hundred seventy-two million, three hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 5003 6048 6804 7776 9072 10006 13608 15009 18144 20012 27216 30018 35021 40024 45027 54432 60036 70042 80048 90054 105063 120072 135081 140084 160096 180108 210126 240144 270162 280168 315189 360216 405243 420252 480288 540324 560336 630378 720432 810486 840504 945567 1080648 1120672 1215729 1260756 1440864 1620972 1681008 1891134 2161296 2431458 2521512 2836701 3241944 3362016 3782268 4322592 4862916 5043024 5673402 6483888 7564536 8510103 9725832 10086048 11346804 12967776 15129072 17020206 19451664 22693608 30258144 34040412 38903328 45387216 68080824 90774432 136161648 272323296