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321243030432 = 25336711534813
BaseRepresentation
bin1001010110010111001…
…00111010001110100000
31010201011222102210012000
410223023210322032200
520230401203433212
6403324345004000
732131462463562
oct4531344721640
91121158383160
10321243030432
111142693524a5
1252313783600
13243a6bb59bc
1411796559332
1585526151dc
hex4acb93a3a0

321243030432 has 192 divisors, whose sum is σ = 951965804160. Its totient is φ = 105369403392.

The previous prime is 321243030413. The next prime is 321243030469. The reversal of 321243030432 is 234030342123.

321243030432 is a `hidden beast` number, since 321 + 2 + 4 + 3 + 0 + 304 + 32 = 666.

It is a super-2 number, since 2×3212430304322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 321243030396 and 321243030405.

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, 66742458 + ... + 66747270.

It is an arithmetic number, because the mean of its divisors is an integer number (4958155230).

Almost surely, 2321243030432 is an apocalyptic number.

321243030432 is a gapful number since it is divisible by the number (32) 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 321243030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475982902080).

321243030432 is an abundant number, since it is smaller than the sum of its proper divisors (630722773728).

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

321243030432 is a wasteful number, since it uses less digits than its factorization.

321243030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 321243030432 its reverse (234030342123), we get a palindrome (555273372555).

The spelling of 321243030432 in words is "three hundred twenty-one billion, two hundred forty-three million, thirty thousand, four hundred thirty-two".