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30036032 = 261322777
BaseRepresentation
bin111001010010…
…1000001000000
32002111222200122
41302211001000
530142123112
62551435412
7513205415
oct162450100
962458618
1030036032
1115a55574
12a085b68
1362b8500
143dbc10c
152984872
hex1ca5040

30036032 has 42 divisors (see below), whose sum is σ = 64563498. Its totient is φ = 13857792.

The previous prime is 30036029. The next prime is 30036079. The reversal of 30036032 is 23063003.

It can be written as a sum of positive squares in 3 ways, for example, as 1048576 + 28987456 = 1024^2 + 5384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30036032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9428 + ... + 12204.

Almost surely, 230036032 is an apocalyptic number.

30036032 is a gapful number since it is divisible by the number (32) 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 30036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32281749).

30036032 is an abundant number, since it is smaller than the sum of its proper divisors (34527466).

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

30036032 is a wasteful number, since it uses less digits than its factorization.

30036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 30036032 is about 5480.5138445222. The cubic root of 30036032 is about 310.8476006041.

Adding to 30036032 its reverse (23063003), we get a palindrome (53099035).

The spelling of 30036032 in words is "thirty million, thirty-six thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 2777 5408 5554 10816 11108 22216 36101 44432 72202 88864 144404 177728 288808 469313 577616 938626 1155232 1877252 2310464 3754504 7509008 15018016 30036032