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30974328 = 233271137151
BaseRepresentation
bin111011000101…
…0000101111000
32011021122210100
41312022011320
530412134303
63023515400
7524164110
oct166120570
964248710
1030974328
1116536520
12a458b60
136556608
144184040
152abc8a3
hex1d8a178

30974328 has 192 divisors, whose sum is σ = 108126720. Its totient is φ = 7776000.

The previous prime is 30974327. The next prime is 30974329. The reversal of 30974328 is 82347903.

It is an interprime number because it is at equal distance from previous prime (30974327) and next prime (30974329).

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

It is a junction number, because it is equal to n+sod(n) for n = 30974292 and 30974301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30974327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205053 + ... + 205203.

It is an arithmetic number, because the mean of its divisors is an integer number (563160).

Almost surely, 230974328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30974328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54063360).

30974328 is an abundant number, since it is smaller than the sum of its proper divisors (77152392).

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

30974328 is a wasteful number, since it uses less digits than its factorization.

30974328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 30974328 is about 5565.4584716805. The cubic root of 30974328 is about 314.0513256736.

The spelling of 30974328 in words is "thirty million, nine hundred seventy-four thousand, three hundred twenty-eight".