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323422706040 = 233574317950023
BaseRepresentation
bin1001011010011010111…
…11101101100101111000
31010220210212212210000020
410231031133231211320
520244332203043130
6404324531010440
732236500433140
oct4551537554570
91126725783006
10323422706040
1111518775aaa5
1252821739a20
132466364c395
1411921c25920
15862db69e10
hex4b4d7ed978

323422706040 has 256 divisors, whose sum is σ = 1141027430400. Its totient is φ = 71801178624.

The previous prime is 323422706017. The next prime is 323422706041. The reversal of 323422706040 is 40607224323.

It is a junction number, because it is equal to n+sod(n) for n = 323422705992 and 323422706010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323422706041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6440469 + ... + 6490491.

It is an arithmetic number, because the mean of its divisors is an integer number (4457138400).

Almost surely, 2323422706040 is an apocalyptic number.

323422706040 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 323422706040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570513715200).

323422706040 is an abundant number, since it is smaller than the sum of its proper divisors (817604724360).

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

323422706040 is a wasteful number, since it uses less digits than its factorization.

323422706040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50266 (or 50262 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The spelling of 323422706040 in words is "three hundred twenty-three billion, four hundred twenty-two million, seven hundred six thousand, forty".