Search a number
-
+
2301424320 = 263513184409
BaseRepresentation
bin1000100100101100…
…1111001011000000
312221101112110122210
42021023033023000
514203131034240
61020211302120
7111013532616
oct21113171300
95841473583
102301424320
11a81104178
125428aa940
132a8a53550
1417b91d6b6
15d70a3780
hex892cf2c0

2301424320 has 112 divisors (see below), whose sum is σ = 7869143520. Its totient is φ = 566501376.

The previous prime is 2301424313. The next prime is 2301424327. The reversal of 2301424320 is 234241032.

It is an interprime number because it is at equal distance from previous prime (2301424313) and next prime (2301424327).

It is not an unprimeable number, because it can be changed into a prime (2301424327) 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 15 ways as a sum of consecutive naturals, for example, 79725 + ... + 104684.

It is an arithmetic number, because the mean of its divisors is an integer number (70260210).

Almost surely, 22301424320 is an apocalyptic number.

2301424320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301424320 is an abundant number, since it is smaller than the sum of its proper divisors (5567719200).

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

2301424320 is a wasteful number, since it uses less digits than its factorization.

2301424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184442 (or 184432 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2301424320 is about 47973.1624973797. The cubic root of 2301424320 is about 1320.2785454415.

Adding to 2301424320 its reverse (234241032), we get a palindrome (2535665352).

The spelling of 2301424320 in words is "two billion, three hundred one million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 184409 368818 553227 737636 922045 1106454 1475272 1844090 2212908 2397317 2766135 2950544 3688180 4425816 4794634 5532270 5901088 7191951 7376360 8851632 9589268 11064540 11802176 11986585 14383902 14752720 17703264 19178536 22129080 23973170 28767804 29505440 35406528 35959755 38357072 44258160 47946340 57535608 59010880 71919510 76714144 88516320 95892680 115071216 143839020 153428288 177032640 191785360 230142432 287678040 383570720 460284864 575356080 767141440 1150712160 2301424320