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2324132440 = 235719222993
BaseRepresentation
bin1000101010000111…
…0111001001011000
312222222021011100021
42022201313021120
514224434214230
61022342120224
7111410541220
oct21241671130
95888234307
102324132440
11a92a04113
1254a420074
132b06744c6
14180951080
15d908bc7a
hex8a877258

2324132440 has 96 divisors (see below), whose sum is σ = 6307714080. Its totient is φ = 754873344.

The previous prime is 2324132417. The next prime is 2324132449. The reversal of 2324132440 is 442314232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324132449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89584 + ... + 112576.

It is an arithmetic number, because the mean of its divisors is an integer number (65705355).

Almost surely, 22324132440 is an apocalyptic number.

2324132440 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 2324132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153857040).

2324132440 is an abundant number, since it is smaller than the sum of its proper divisors (3983581640).

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

2324132440 is a wasteful number, since it uses less digits than its factorization.

2324132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23049 (or 23026 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2324132440 is about 48209.2567874677. The cubic root of 2324132440 is about 1324.6067308005.

Adding to 2324132440 its reverse (442314232), we get a palindrome (2766446672).

The spelling of 2324132440 in words is "two billion, three hundred twenty-four million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 361 380 532 665 722 760 1064 1330 1444 1805 2527 2660 2888 3610 5054 5320 7220 10108 12635 14440 20216 22993 25270 45986 50540 91972 101080 114965 160951 183944 229930 321902 436867 459860 643804 804755 873734 919720 1287608 1609510 1747468 2184335 3058069 3219020 3494936 4368670 6116138 6438040 8300473 8737340 12232276 15290345 16600946 17474680 24464552 30580690 33201892 41502365 58103311 61161380 66403784 83004730 116206622 122322760 166009460 232413244 290516555 332018920 464826488 581033110 1162066220 2324132440