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2324520432 = 2432131773043
BaseRepresentation
bin1000101010001101…
…0101110111110000
312222222222212120100
42022203111313300
514230034123212
61022354312400
7111414045333
oct21243256760
95888885510
102324520432
11a93149673
1254a588700
132b077bca0
14180a1261a
15d9116bdc
hex8a8d5df0

2324520432 has 120 divisors (see below), whose sum is σ = 7418056464. Its totient is φ = 673155072.

The previous prime is 2324520431. The next prime is 2324520463. The reversal of 2324520432 is 2340254232.

It is a happy number.

2324520432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2324520396 and 2324520405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324520431) 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, 4698 + ... + 68345.

Almost surely, 22324520432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324520432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709028232).

2324520432 is an abundant number, since it is smaller than the sum of its proper divisors (5093536032).

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

2324520432 is a wasteful number, since it uses less digits than its factorization.

2324520432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73087 (or 73078 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2324520432 is about 48213.2806600007. The cubic root of 2324520432 is about 1324.6804369011.

Adding to 2324520432 its reverse (2340254232), we get a palindrome (4664774664).

The spelling of 2324520432 in words is "two billion, three hundred twenty-four million, five hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15912 31824 73043 146086 219129 292172 438258 584344 657387 876516 949559 1168688 1241731 1314774 1753032 1899118 2483462 2629548 2848677 3506064 3725193 3798236 4966924 5259096 5697354 7450386 7596472 8546031 9933848 10518192 11175579 11394708 14900772 15192944 16142503 17092062 19867696 22351158 22789416 29801544 32285006 34184124 44702316 45578832 48427509 59603088 64570012 68368248 89404632 96855018 129140024 136736496 145282527 178809264 193710036 258280048 290565054 387420072 581130108 774840144 1162260216 2324520432