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304314420320 = 25522735923339
BaseRepresentation
bin1000110110110101000…
…11011000110001100000
31002002111012021021210022
410123122203120301200
514441213442422240
6351444454053012
730662123615261
oct4333243306140
91062435237708
10304314420320
11108071614129
124ab8a34a168
1322909929941
1410a2c140968
157db13409b5
hex46da8d8c60

304314420320 has 96 divisors (see below), whose sum is σ = 724152441600. Its totient is φ = 120846777856.

The previous prime is 304314420307. The next prime is 304314420323. The reversal of 304314420320 is 23024413403.

It is a self number, because there is not a number n which added to its sum of digits gives 304314420320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304314420323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13027211 + ... + 13050549.

It is an arithmetic number, because the mean of its divisors is an integer number (7543254600).

Almost surely, 2304314420320 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 304314420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362076220800).

304314420320 is an abundant number, since it is smaller than the sum of its proper divisors (419838021280).

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

304314420320 is a wasteful number, since it uses less digits than its factorization.

304314420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23940 (or 23932 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 304314420320 its reverse (23024413403), we get a palindrome (327338833723).

The spelling of 304314420320 in words is "three hundred four billion, three hundred fourteen million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 359 454 718 908 1135 1436 1795 1816 2270 2872 3590 3632 4540 5744 7180 7264 9080 11488 14360 18160 23339 28720 36320 46678 57440 81493 93356 116695 162986 186712 233390 325972 373424 407465 466780 651944 746848 814930 933560 1303888 1629860 1867120 2607776 3259720 3734240 5297953 6519440 8378701 10595906 13038880 16757402 21191812 26489765 33514804 41893505 42383624 52979530 67029608 83787010 84767248 105959060 134059216 167574020 169534496 211918120 268118432 335148040 423836240 670296080 847672480 1340592160 1901965127 3803930254 7607860508 9509825635 15215721016 19019651270 30431442032 38039302540 60862884064 76078605080 152157210160 304314420320