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304325040 = 24356771873
BaseRepresentation
bin10010001000111…
…010000110110000
3210012122022110210
4102020322012300
51110401400130
650110424120
710353502005
oct2210720660
9705568423
10304325040
111468689a8
1285b02040
134b0835b6
142c5bb8ac
151bab55b0
hex1223a1b0

304325040 has 80 divisors (see below), whose sum is σ = 945305568. Its totient is φ = 80990208.

The previous prime is 304325023. The next prime is 304325051. The reversal of 304325040 is 40523403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3043250402 = 185227459942003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 304324998 and 304325016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161544 + ... + 163416.

Almost surely, 2304325040 is an apocalyptic number.

304325040 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 304325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472652784).

304325040 is an abundant number, since it is smaller than the sum of its proper divisors (640980528).

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

304325040 is a wasteful number, since it uses less digits than its factorization.

304325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 304325040 is about 17444.9144451900. The cubic root of 304325040 is about 672.6346399668.

Adding to 304325040 its reverse (40523403), we get a palindrome (344848443).

The spelling of 304325040 in words is "three hundred four million, three hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 677 1354 1873 2031 2708 3385 3746 4062 5416 5619 6770 7492 8124 9365 10155 10832 11238 13540 14984 16248 18730 20310 22476 27080 28095 29968 32496 37460 40620 44952 54160 56190 74920 81240 89904 112380 149840 162480 224760 449520 1268021 2536042 3804063 5072084 6340105 7608126 10144168 12680210 15216252 19020315 20288336 25360420 30432504 38040630 50720840 60865008 76081260 101441680 152162520 304325040