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300344011000 = 23531163143271
BaseRepresentation
bin1000101111011011110…
…01011110100011111000
31001201020111020121010021
410113231321132203320
514410101031323000
6345550502300224
730461542654015
oct4275571364370
91051214217107
10300344011000
11106414400910
124a260727674
1322426198b07
1410772ad070c
157c2c9b311a
hex45ede5e8f8

300344011000 has 128 divisors (see below), whose sum is σ = 767929144320. Its totient is φ = 109040400000.

The previous prime is 300344010983. The next prime is 300344011007. The reversal of 300344011000 is 110443003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300344011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6919365 + ... + 6962635.

It is an arithmetic number, because the mean of its divisors is an integer number (5999446440).

Almost surely, 2300344011000 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 300344011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383964572160).

300344011000 is an abundant number, since it is smaller than the sum of its proper divisors (467585133320).

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

300344011000 is a wasteful number, since it uses less digits than its factorization.

300344011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43934 (or 43920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 300344011000 its reverse (110443003), we get a palindrome (300454454003).

The spelling of 300344011000 in words is "three hundred billion, three hundred forty-four million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 631 1000 1100 1262 1375 2200 2524 2750 3155 5048 5500 6310 6941 11000 12620 13882 15775 25240 27764 31550 34705 43271 55528 63100 69410 78875 86542 126200 138820 157750 173084 173525 216355 277640 315500 346168 347050 432710 475981 631000 694100 865420 867625 951962 1081775 1388200 1730840 1735250 1903924 2163550 2379905 3470500 3807848 4327100 4759810 5408875 6941000 8654200 9519620 10817750 11899525 19039240 21635500 23799050 27304001 43271000 47598100 54608002 59497625 95196200 109216004 118995250 136520005 218432008 237990500 273040010 300344011 475981000 546080020 600688022 682600025 1092160040 1201376044 1365200050 1501720055 2402752088 2730400100 3003440110 3413000125 5460800200 6006880220 6826000250 7508600275 12013760440 13652000500 15017200550 27304001000 30034401100 37543001375 60068802200 75086002750 150172005500 300344011000