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2324422320 = 2435112338281
BaseRepresentation
bin1000101010001011…
…1101111010110000
312222222210212222120
42022202331322300
514230023003240
61022352234240
7111413156313
oct21242757260
95888725876
102324422320
11a93091990
1254a53b980
132b074642c
141809c897a
15d90e7ad0
hex8a8bdeb0

2324422320 has 160 divisors (see below), whose sum is σ = 8202760704. Its totient is φ = 538982400.

The previous prime is 2324422313. The next prime is 2324422333. The reversal of 2324422320 is 232244232.

It is a happy number.

2324422320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×23244223203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41580 + ... + 79860.

Almost surely, 22324422320 is an apocalyptic number.

2324422320 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 2324422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101380352).

2324422320 is an abundant number, since it is smaller than the sum of its proper divisors (5878338384).

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

2324422320 is a wasteful number, since it uses less digits than its factorization.

2324422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38331 (or 38325 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2324422320 is about 48212.2631702765. The cubic root of 2324422320 is about 1324.6617995263.

Adding to 2324422320 its reverse (232244232), we get a palindrome (2556666552).

The spelling of 2324422320 in words is "two billion, three hundred twenty-four million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2530 2640 2760 3036 3795 4048 5060 5520 6072 7590 10120 12144 15180 20240 30360 38281 60720 76562 114843 153124 191405 229686 306248 382810 421091 459372 574215 612496 765620 842182 880463 918744 1148430 1263273 1531240 1684364 1760926 1837488 2105455 2296860 2526546 2641389 3062480 3368728 3521852 4210910 4402315 4593720 5053092 5282778 6316365 6737456 7043704 8421820 8804630 9187440 9685093 10106184 10565556 12632730 13206945 14087408 16843640 17609260 19370186 20212368 21131112 25265460 26413890 29055279 33687280 35218520 38740372 42262224 48425465 50530920 52827780 58110558 70437040 77480744 96850930 101061840 105655560 116221116 145276395 154961488 193701860 211311120 232442232 290552790 387403720 464884464 581105580 774807440 1162211160 2324422320