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30712608 = 253417241
BaseRepresentation
bin111010100101…
…0001100100000
32010210100210000
41311022030200
530330300413
63014140000
7522024063
oct165121440
963710700
1030712608
1116377923
12a351600
136494454
1441168da
152a6a073
hex1d4a320

30712608 has 180 divisors, whose sum is σ = 98290962. Its totient is φ = 9400320.

The previous prime is 30712601. The next prime is 30712631. The reversal of 30712608 is 80621703.

It can be written as a sum of positive squares in 3 ways, for example, as 26501904 + 4210704 = 5148^2 + 2052^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30712601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 749068 + ... + 749108.

Almost surely, 230712608 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 30712608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49145481).

30712608 is an abundant number, since it is smaller than the sum of its proper divisors (67578354).

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

30712608 is a wasteful number, since it uses less digits than its factorization.

30712608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 30712608 is about 5541.8957045401. The cubic root of 30712608 is about 313.1642888777.

The spelling of 30712608 in words is "thirty million, seven hundred twelve thousand, six hundred eight".