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323414425020 = 2235236110138039
BaseRepresentation
bin1001011010011010000…
…00000111110110111100
31010220210022022001120210
410231031000013312330
520244323043100040
6404324033312420
732236340153211
oct4551500076674
91126708261523
10323414425020
11115183014385
125281aa05710
1324661a1007b
1411920aabb08
15862d081480
hex4b4d007dbc

323414425020 has 192 divisors, whose sum is σ = 969957918720. Its totient is φ = 80336256000.

The previous prime is 323414425001. The next prime is 323414425027. The reversal of 323414425020 is 20524414323.

It is a super-2 number, since 2×3234144250202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323414425027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8483161 + ... + 8521199.

It is an arithmetic number, because the mean of its divisors is an integer number (5051864160).

Almost surely, 2323414425020 is an apocalyptic number.

323414425020 is a gapful number since it is divisible by the number (30) 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 323414425020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484978959360).

323414425020 is an abundant number, since it is smaller than the sum of its proper divisors (646543493700).

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

323414425020 is a wasteful number, since it uses less digits than its factorization.

323414425020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38236 (or 38234 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 323414425020 its reverse (20524414323), we get a palindrome (343938839343).

The spelling of 323414425020 in words is "three hundred twenty-three billion, four hundred fourteen million, four hundred twenty-five thousand, twenty".