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323412243400 = 235253121325153
BaseRepresentation
bin1001011010011001101…
…11110011001111001000
31010220210011012012222001
410231030313303033020
520244322013242100
6404323514440344
732236312465621
oct4551467631710
91126704165861
10323412243400
11115181864294
125281a1330b4
132466142807c
14119206a0a48
15862cc9ed6a
hex4b4cdf33c8

323412243400 has 96 divisors (see below), whose sum is σ = 766782965160. Its totient is φ = 126814371840.

The previous prime is 323412243331. The next prime is 323412243419. The reversal of 323412243400 is 4342214323.

It can be written as a sum of positive squares in 12 ways, for example, as 3176224164 + 320236019236 = 56358^2 + 565894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12845224 + ... + 12870376.

Almost surely, 2323412243400 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 323412243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383391482580).

323412243400 is an abundant number, since it is smaller than the sum of its proper divisors (443370721760).

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

323412243400 is a wasteful number, since it uses less digits than its factorization.

323412243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26435 (or 26426 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 323412243400 its reverse (4342214323), we get a palindrome (327754457723).

The spelling of 323412243400 in words is "three hundred twenty-three billion, four hundred twelve million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1213 1325 2120 2426 2650 4852 5300 6065 9704 10600 12130 24260 25153 30325 48520 50306 60650 64289 100612 121300 125765 128578 201224 242600 251530 257156 321445 503060 514312 628825 642890 1006120 1257650 1285780 1333109 1607225 2515300 2571560 2666218 3214450 5030600 5332436 6428900 6665545 10664872 12857800 13331090 26662180 30510589 33327725 53324360 61021178 66655450 122042356 133310900 152552945 244084712 266621800 305105890 610211780 762764725 1220423560 1525529450 1617061217 3051058900 3234122434 6102117800 6468244868 8085306085 12936489736 16170612170 32341224340 40426530425 64682448680 80853060850 161706121700 323412243400