Search a number
-
+
30351528 = 233217137181
BaseRepresentation
bin111001111001…
…0000010101000
32010010000110200
41303302002220
530232222103
63002312200
7515661264
oct163620250
963100420
1030351528
1116150609
12a1b8660
136398cac
1440610a4
1529e80a3
hex1cf20a8

30351528 has 96 divisors (see below), whose sum is σ = 88157160. Its totient is φ = 9400320.

The previous prime is 30351527. The next prime is 30351551. The reversal of 30351528 is 82515303.

It can be written as a sum of positive squares in 4 ways, for example, as 22297284 + 8054244 = 4722^2 + 2838^2 .

It is not an unprimeable number, because it can be changed into a prime (30351527) 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 23 ways as a sum of consecutive naturals, for example, 167598 + ... + 167778.

Almost surely, 230351528 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 30351528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44078580).

30351528 is an abundant number, since it is smaller than the sum of its proper divisors (57805632).

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

30351528 is a wasteful number, since it uses less digits than its factorization.

30351528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 30351528 is about 5509.2220866471. Note that the first 3 decimals coincide. The cubic root of 30351528 is about 311.9321844719.

The spelling of 30351528 in words is "thirty million, three hundred fifty-one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 137 153 181 204 274 306 362 408 411 543 548 612 724 822 1086 1096 1224 1233 1448 1629 1644 2172 2329 2466 3077 3258 3288 4344 4658 4932 6154 6516 6987 9231 9316 9864 12308 13032 13974 18462 18632 20961 24616 24797 27693 27948 36924 41922 49594 55386 55896 73848 74391 83844 99188 110772 148782 167688 198376 221544 223173 297564 421549 446346 595128 843098 892692 1264647 1686196 1785384 2529294 3372392 3793941 5058588 7587882 10117176 15175764 30351528