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328282023420 = 223351331741397
BaseRepresentation
bin1001100011011110010…
…00100010010111111100
31011101100112112200022000
410301233020202113330
520334310144222140
6410451035022300
732501064105201
oct4615710422774
91141315480260
10328282023420
1111725070a07a
1253758b9a990
1324c592c2000
1411c63345ca8
158815582a30
hex4c6f2225fc

328282023420 has 768 divisors, whose sum is σ = 1203070579200. Its totient is φ = 74012590080.

The previous prime is 328282023409. The next prime is 328282023439. The reversal of 328282023420 is 24320282823.

328282023420 is a `hidden beast` number, since 3 + 2 + 8 + 28 + 202 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 826906662 + ... + 826907058.

It is an arithmetic number, because the mean of its divisors is an integer number (1566498150).

Almost surely, 2328282023420 is an apocalyptic number.

328282023420 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 328282023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601535289600).

328282023420 is an abundant number, since it is smaller than the sum of its proper divisors (874788555780).

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

328282023420 is a wasteful number, since it uses less digits than its factorization.

328282023420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 328282023420 in words is "three hundred twenty-eight billion, two hundred eighty-two million, twenty-three thousand, four hundred twenty".