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328343400 = 23325271123103
BaseRepresentation
bin10011100100100…
…001111101101000
3211212211120110200
4103210201331220
51133023442100
652325312200
711064605250
oct2344417550
9755746420
10328343400
11159383290
1291b65660
1353042a48
1431870960
151dc5be00
hex13921f68

328343400 has 576 divisors, whose sum is σ = 1448478720. Its totient is φ = 64627200.

The previous prime is 328343369. The next prime is 328343401. The reversal of 328343400 is 4343823.

It is not an unprimeable number, because it can be changed into a prime (328343401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3187749 + ... + 3187851.

It is an arithmetic number, because the mean of its divisors is an integer number (2514720).

Almost surely, 2328343400 is an apocalyptic number.

328343400 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 328343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724239360).

328343400 is an abundant number, since it is smaller than the sum of its proper divisors (1120135320).

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

328343400 is a wasteful number, since it uses less digits than its factorization.

328343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 328343400 is about 18120.2483426690. The cubic root of 328343400 is about 689.8840384836.

The spelling of 328343400 in words is "three hundred twenty-eight million, three hundred forty-three thousand, four hundred".