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30304354320 = 24325213119751
BaseRepresentation
bin11100001110010001…
…111100000000010000
32220012221222201000100
4130032101330000100
5444030403314240
621531023252400
72121653522142
oct341621740020
986187881010
1030304354320
1111941021a29
125a58a4a100
132b1c458b06
141676a32c92
15bc56e7e30
hex70e47c010

30304354320 has 120 divisors (see below), whose sum is σ = 101825036352. Its totient is φ = 8076960000.

The previous prime is 30304354271. The next prime is 30304354321. The reversal of 30304354320 is 2345340303.

It is a happy number.

30304354320 is a `hidden beast` number, since 3 + 0 + 304 + 35 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (30304354321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1524445 + ... + 1544195.

Almost surely, 230304354320 is an apocalyptic number.

30304354320 is a gapful number since it is divisible by the number (30) 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 30304354320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50912518176).

30304354320 is an abundant number, since it is smaller than the sum of its proper divisors (71520682032).

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

30304354320 is a wasteful number, since it uses less digits than its factorization.

30304354320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21901 (or 21892 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 30304354320 its reverse (2345340303), we get a palindrome (32649694623).

The spelling of 30304354320 in words is "thirty billion, three hundred four million, three hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2131 4262 6393 8524 10655 12786 17048 19179 19751 21310 25572 31965 34096 38358 39502 42620 51144 59253 63930 76716 79004 85240 95895 98755 102288 118506 127860 153432 158008 170480 177759 191790 197510 237012 255720 296265 306864 316016 355518 383580 395020 474024 511440 592530 711036 767160 790040 888795 948048 1185060 1422072 1534320 1580080 1777590 2370120 2844144 3555180 4740240 7110360 14220720 42089381 84178762 126268143 168357524 210446905 252536286 336715048 378804429 420893810 505072572 631340715 673430096 757608858 841787620 1010145144 1262681430 1515217716 1683575240 1894022145 2020290288 2525362860 3030435432 3367150480 3788044290 5050725720 6060870864 7576088580 10101451440 15152177160 30304354320