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30030032 = 2419173571
BaseRepresentation
bin111001010001…
…1100011010000
32002111200110102
41302203203100
530141430112
62551351532
7513152054
oct162434320
962450412
1030030032
1115a5100a
12a0825a8
1362b5866
143db9c64
152982bc2
hex1ca38d0

30030032 has 40 divisors (see below), whose sum is σ = 61707360. Its totient is φ = 14117760.

The previous prime is 30030031. The next prime is 30030037. The reversal of 30030032 is 23003003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30029995 and 30030022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30030031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52307 + ... + 52877.

It is an arithmetic number, because the mean of its divisors is an integer number (1542684).

Almost surely, 230030032 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 30030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30853680).

30030032 is an abundant number, since it is smaller than the sum of its proper divisors (31677328).

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

30030032 is a wasteful number, since it uses less digits than its factorization.

30030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

The square root of 30030032 is about 5479.9664232548. The cubic root of 30030032 is about 310.8269009124.

Adding to 30030032 its reverse (23003003), we get a palindrome (53033035).

It can be divided in two parts, 3003003 and 2, that multiplied together give a palindrome (6006006).

The spelling of 30030032 in words is "thirty million, thirty thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 8 16 19 38 76 152 173 304 346 571 692 1142 1384 2284 2768 3287 4568 6574 9136 10849 13148 21698 26296 43396 52592 86792 98783 173584 197566 395132 790264 1580528 1876877 3753754 7507508 15015016 30030032