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300314440034240 = 2652714679740123
BaseRepresentation
bin100010001001000100110011…
…1100001001110011111000000
31110101022210001200100100200012
41010102021213201032133000
5303330322433122043430
62542414314341244052
7120154000532612552
oct10422114741163700
91411283050310605
10300314440034240
1187764703244215
1229822b4a403628
13cb756b7a60188
1454234216774d2
1524abd03ac1695
hex111226784e7c0

300314440034240 has 112 divisors (see below), whose sum is σ = 717916964244480. Its totient is φ = 119656767144960.

The previous prime is 300314440034221. The next prime is 300314440034251. The reversal of 300314440034240 is 42430044413003.

It is a super-3 number, since 3×3003144400342403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 300314440034197 and 300314440034206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405392819 + ... + 406132941.

It is an arithmetic number, because the mean of its divisors is an integer number (6409972895040).

Almost surely, 2300314440034240 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 300314440034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358958482122240).

300314440034240 is an abundant number, since it is smaller than the sum of its proper divisors (417602524210240).

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

300314440034240 is a wasteful number, since it uses less digits than its factorization.

300314440034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745090 (or 745080 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 300314440034240 its reverse (42430044413003), we get a palindrome (342744484447243).

The spelling of 300314440034240 in words is "three hundred trillion, three hundred fourteen billion, four hundred forty million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 271 320 542 1084 1355 2168 2710 4336 4679 5420 8672 9358 10840 17344 18716 21680 23395 37432 43360 46790 74864 86720 93580 149728 187160 299456 374320 740123 748640 1268009 1480246 1497280 2536018 2960492 3700615 5072036 5920984 6340045 7401230 10144072 11841968 12680090 14802460 20288144 23683936 25360180 29604920 40576288 47367872 50720360 59209840 81152576 101440720 118419680 200573333 202881440 236839360 401146666 405762880 802293332 1002866665 1604586664 2005733330 3209173328 3463035517 4011466660 6418346656 6926071034 8022933320 12836693312 13852142068 16045866640 17315177585 27704284136 32091733280 34630355170 55408568272 64183466560 69260710340 110817136544 138521420680 221634273088 277042841360 554085682720 938482625107 1108171365440 1876965250214 3753930500428 4692413125535 7507861000856 9384826251070 15015722001712 18769652502140 30031444003424 37539305004280 60062888006848 75078610008560 150157220017120 300314440034240