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303430022420 = 225719295338629
BaseRepresentation
bin1000110101001011101…
…01101011010100010100
31002000012120010012221112
410122211311223110110
514432411041204140
6351221022234152
730631164430610
oct4324565532424
91060176105845
10303430022420
11107758378978
124a982125958
13227c8636985
14109868c6340
157d5d896c65
hex46a5d6b514

303430022420 has 96 divisors (see below), whose sum is σ = 766839494400. Its totient is φ = 98521795584.

The previous prime is 303430022419. The next prime is 303430022447. The reversal of 303430022420 is 24220034303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7835666 + ... + 7874294.

It is an arithmetic number, because the mean of its divisors is an integer number (7987911400).

Almost surely, 2303430022420 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 303430022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383419747200).

303430022420 is an abundant number, since it is smaller than the sum of its proper divisors (463409471980).

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

303430022420 is a wasteful number, since it uses less digits than its factorization.

303430022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41617 (or 41615 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 303430022420 its reverse (24220034303), we get a palindrome (327650056723).

The spelling of 303430022420 in words is "three hundred three billion, four hundred thirty million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 2953 5906 11812 14765 20671 29530 38629 41342 56107 59060 77258 82684 103355 112214 154516 193145 206710 224428 270403 280535 386290 392749 413420 540806 561070 733951 772580 785498 1081612 1122140 1352015 1467902 1570996 1963745 2704030 2935804 3669755 3927490 5137657 5408060 7339510 7854980 10275314 14679020 20550628 25688285 51376570 102753140 114071437 228142874 456285748 570357185 798500059 1140714370 1597000118 2167357303 2281428740 3194000236 3992500295 4334714606 7985000590 8669429212 10836786515 15171501121 15970001180 21673573030 30343002242 43347146060 60686004484 75857505605 151715011210 303430022420