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323140410840 = 23351323167199271
BaseRepresentation
bin1001011001111001010…
…10110101110111011000
31010220002012200200210110
410230330222311313120
520243242421121330
6404240524244320
732226502113102
oct4547452656730
91126065620713
10323140410840
11115052379485
12527630a06a0
132461a0100c0
14118d6540572
158613ea6db0
hex4b3cab5dd8

323140410840 has 512 divisors, whose sum is σ = 1105477632000. Its totient is φ = 74970593280.

The previous prime is 323140410811. The next prime is 323140410889. The reversal of 323140410840 is 48014041323.

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

It is a junction number, because it is equal to n+sod(n) for n = 323140410798 and 323140410807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1192399905 + ... + 1192400175.

It is an arithmetic number, because the mean of its divisors is an integer number (2159136000).

Almost surely, 2323140410840 is an apocalyptic number.

323140410840 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 323140410840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552738816000).

323140410840 is an abundant number, since it is smaller than the sum of its proper divisors (782337221160).

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

323140410840 is a wasteful number, since it uses less digits than its factorization.

323140410840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 323140410840 in words is "three hundred twenty-three billion, one hundred forty million, four hundred ten thousand, eight hundred forty".