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2720000304 = 243378310837
BaseRepresentation
bin1010001000011111…
…1110100100110000
321000120011022222000
42202013332210300
521032310002204
61125523014000
7124255423020
oct24207764460
97016138860
102720000304
11117640753a
1263ab0a300
1334469a048
141bb35ba80
1510dbd6039
hexa21fe930

2720000304 has 160 divisors (see below), whose sum is σ = 9031088640. Its totient is φ = 767708928.

The previous prime is 2720000267. The next prime is 2720000317. The reversal of 2720000304 is 4030000272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245574 + ... + 256410.

It is an arithmetic number, because the mean of its divisors is an integer number (56444304).

Almost surely, 22720000304 is an apocalyptic number.

2720000304 is a gapful number since it is divisible by the number (24) 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 2720000304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515544320).

2720000304 is an abundant number, since it is smaller than the sum of its proper divisors (6311088336).

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

2720000304 is a wasteful number, since it uses less digits than its factorization.

2720000304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944 (or 10932 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2720000304 is about 52153.6221560881. The cubic root of 2720000304 is about 1395.9064613861.

Adding to 2720000304 its reverse (4030000272), we get a palindrome (6750000576).

The spelling of 2720000304 in words is "two billion, seven hundred twenty million, three hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 83 84 108 112 126 144 166 168 189 216 249 252 332 336 378 432 498 504 581 664 747 756 996 1008 1162 1328 1494 1512 1743 1992 2241 2324 2988 3024 3486 3984 4482 4648 5229 5976 6972 8964 9296 10458 10837 11952 13944 15687 17928 20916 21674 27888 31374 32511 35856 41832 43348 62748 65022 75859 83664 86696 97533 125496 130044 151718 173392 195066 227577 250992 260088 292599 303436 390132 455154 520176 585198 606872 682731 780264 899471 910308 1170396 1213744 1365462 1560528 1798942 1820616 2048193 2340792 2698413 2730924 3597884 3641232 4096386 4681584 5396826 5461848 6296297 7195768 8095239 8192772 10793652 10923696 12592594 14391536 16190478 16385544 18888891 21587304 24285717 25185188 32380956 32771088 37777782 43174608 48571434 50370376 56666673 64761912 75555564 97142868 100740752 113333346 129523824 151111128 170000019 194285736 226666692 302222256 340000038 388571472 453333384 680000076 906666768 1360000152 2720000304