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2304433040 = 245713349907
BaseRepresentation
bin1000100101011010…
…1101101110010000
312221121012022211212
42021112231232100
514204413324130
61020355555252
7111051233450
oct21126555620
95847168755
102304433040
11a82879718
125438bbb28
132a9567b60
1417c0a3d60
15d7499e95
hex895adb90

2304433040 has 160 divisors (see below), whose sum is σ = 6620409600. Its totient is φ = 726423552.

The previous prime is 2304433039. The next prime is 2304433049. The reversal of 2304433040 is 403344032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2304432997 and 2304433015.

It is not an unprimeable number, because it can be changed into a prime (2304433049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2540267 + ... + 2541173.

It is an arithmetic number, because the mean of its divisors is an integer number (41377560).

Almost surely, 22304433040 is an apocalyptic number.

2304433040 is a gapful number since it is divisible by the number (20) 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 2304433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310204800).

2304433040 is an abundant number, since it is smaller than the sum of its proper divisors (4315976560).

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

2304433040 is a wasteful number, since it uses less digits than its factorization.

2304433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1283 counting only the distinct ones).

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

The square root of 2304433040 is about 48004.5106213989. The cubic root of 2304433040 is about 1320.8536412826.

Adding to 2304433040 its reverse (403344032), we get a palindrome (2707777072).

The spelling of 2304433040 in words is "two billion, three hundred four million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 349 364 455 520 560 698 728 907 910 1040 1396 1456 1745 1814 1820 2443 2792 3490 3628 3640 4535 4537 4886 5584 6349 6980 7256 7280 9070 9074 9772 11791 12215 12698 13960 14512 18140 18148 19544 22685 23582 24430 25396 27920 31745 31759 36280 36296 39088 45370 47164 48860 50792 58955 63490 63518 72560 72592 82537 90740 94328 97720 101584 117910 126980 127036 158795 165074 181480 188656 195440 235820 253960 254072 316543 317590 330148 362960 412685 471640 507920 508144 633086 635180 660296 825370 943280 1266172 1270360 1320592 1582715 1650740 2215801 2532344 2540720 3165430 3301480 4115059 4431602 5064688 6330860 6602960 8230118 8863204 11079005 12661720 16460236 17726408 20575295 22158010 25323440 28805413 32920472 35452816 41150590 44316020 57610826 65840944 82301180 88632040 115221652 144027065 164602360 177264080 230443304 288054130 329204720 460886608 576108260 1152216520 2304433040