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30996064 = 2511173509
BaseRepresentation
bin111011000111…
…1011001100000
32011022202121101
41312033121200
530413333224
63024204144
7524314351
oct166173140
964282541
1030996064
1116550890
12a469654
136563488
14418bd28
152ac4044
hex1d8f660

30996064 has 48 divisors (see below), whose sum is σ = 67087440. Its totient is φ = 13980160.

The previous prime is 30996061. The next prime is 30996067. The reversal of 30996064 is 46069903.

It is an interprime number because it is at equal distance from previous prime (30996061) and next prime (30996067).

It is a super-3 number, since 3×309960643 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30996061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60642 + ... + 61150.

It is an arithmetic number, because the mean of its divisors is an integer number (1397655).

Almost surely, 230996064 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 30996064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33543720).

30996064 is an abundant number, since it is smaller than the sum of its proper divisors (36091376).

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

30996064 is a wasteful number, since it uses less digits than its factorization.

30996064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 30996064 is about 5567.4108883753. The cubic root of 30996064 is about 314.1247695428.

The spelling of 30996064 in words is "thirty million, nine hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 173 176 346 352 509 692 1018 1384 1903 2036 2768 3806 4072 5536 5599 7612 8144 11198 15224 16288 22396 30448 44792 60896 88057 89584 176114 179168 352228 704456 968627 1408912 1937254 2817824 3874508 7749016 15498032 30996064