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323428976640 = 211325721117383
BaseRepresentation
bin1001011010011011101…
…11101000100000000000
31010220211022200100122200
410231031313220200000
520244340304223030
6404325313233200
732236604640600
oct4551567504000
91126738610580
10323428976640
11115190253210
1252823862800
1324664a365b3
14119229b8c00
15862e4a7d60
hex4b4dde8800

323428976640 has 1728 divisors, whose sum is σ = 1510109153280. Its totient is φ = 63087575040.

The previous prime is 323428976639. The next prime is 323428976711. The reversal of 323428976640 is 46679824323.

323428976640 is a `hidden beast` number, since 3 + 234 + 289 + 76 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 844461889 + ... + 844462271.

It is an arithmetic number, because the mean of its divisors is an integer number (873905760).

Almost surely, 2323428976640 is an apocalyptic number.

323428976640 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 323428976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755054576640).

323428976640 is an abundant number, since it is smaller than the sum of its proper divisors (1186680176640).

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

323428976640 is a wasteful number, since it uses less digits than its factorization.

323428976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 323428976640 in words is "three hundred twenty-three billion, four hundred twenty-eight million, nine hundred seventy-six thousand, six hundred forty".