Search a number
-
+
2732730336 = 2532710113421
BaseRepresentation
bin1010001011100010…
…0010011111100000
321001110010002021200
42202320202133200
521044034332321
61131055521200
7124501552560
oct24270423740
97043102250
102732730336
111182611826
12643229200
133472063cb
141bcd12da0
1510ed9cd26
hexa2e227e0

2732730336 has 144 divisors (see below), whose sum is σ = 8969976288. Its totient is φ = 772992000.

The previous prime is 2732730323. The next prime is 2732730337. The reversal of 2732730336 is 6330372372.

2732730336 is a `hidden beast` number, since 27 + 327 + 303 + 3 + 6 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2732730336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2732730337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196906 + ... + 210326.

It is an arithmetic number, because the mean of its divisors is an integer number (62291502).

Almost surely, 22732730336 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 2732730336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484988144).

2732730336 is an abundant number, since it is smaller than the sum of its proper divisors (6237245952).

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

2732730336 is a wasteful number, since it uses less digits than its factorization.

2732730336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13545 (or 13534 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 36.

The square root of 2732730336 is about 52275.5232972373. The cubic root of 2732730336 is about 1398.0807606215.

The spelling of 2732730336 in words is "two billion, seven hundred thirty-two million, seven hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 126 144 168 202 224 252 288 303 336 404 504 606 672 707 808 909 1008 1212 1414 1616 1818 2016 2121 2424 2828 3232 3636 4242 4848 5656 6363 7272 8484 9696 11312 12726 13421 14544 16968 22624 25452 26842 29088 33936 40263 50904 53684 67872 80526 93947 101808 107368 120789 161052 187894 203616 214736 241578 281841 322104 375788 429472 483156 563682 644208 751576 845523 966312 1127364 1288416 1355521 1503152 1691046 1932624 2254728 2711042 3006304 3382092 3865248 4066563 4509456 5422084 6764184 8133126 9018912 9488647 10844168 12199689 13528368 16266252 18977294 21688336 24399378 27056736 28465941 32532504 37954588 43376672 48798756 56931882 65065008 75909176 85397823 97597512 113863764 130130016 151818352 170795646 195195024 227727528 303636704 341591292 390390048 455455056 683182584 910910112 1366365168 2732730336