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328222440 = 2332571343233
BaseRepresentation
bin10011100100000…
…100011011101000
3211212121102112200
4103210010123220
51133011104230
652322540200
711063562510
oct2344043350
9755542480
10328222440
11159300417
1291b07660
1352ccc980
143183c840
151dc36160
hex139046e8

328222440 has 384 divisors, whose sum is σ = 1349187840. Its totient is φ = 67350528.

The previous prime is 328222429. The next prime is 328222457. The reversal of 328222440 is 44222823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408564 + ... + 1408796.

It is an arithmetic number, because the mean of its divisors is an integer number (3513510).

Almost surely, 2328222440 is an apocalyptic number.

328222440 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 328222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674593920).

328222440 is an abundant number, since it is smaller than the sum of its proper divisors (1020965400).

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

328222440 is a wasteful number, since it uses less digits than its factorization.

328222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 328222440 is about 18116.9103326147. The cubic root of 328222440 is about 689.7993115151.

The spelling of 328222440 in words is "three hundred twenty-eight million, two hundred twenty-two thousand, four hundred forty".