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30352728 = 23371937257
BaseRepresentation
bin111001111001…
…0010101011000
32010010002010010
41303302111120
530232241403
63002321520
7515664630
oct163622530
963102103
1030352728
11161514aa
12a1b92a0
1363996c3
1440616c0
1529e8603
hex1cf2558

30352728 has 128 divisors (see below), whose sum is σ = 94118400. Its totient is φ = 7962624.

The previous prime is 30352723. The next prime is 30352733. The reversal of 30352728 is 82725303.

It is an interprime number because it is at equal distance from previous prime (30352723) and next prime (30352733).

It is a junction number, because it is equal to n+sod(n) for n = 30352695 and 30352704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30352723) 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 31 ways as a sum of consecutive naturals, for example, 117976 + ... + 118232.

It is an arithmetic number, because the mean of its divisors is an integer number (735300).

Almost surely, 230352728 is an apocalyptic number.

30352728 is a gapful number since it is divisible by the number (38) 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 30352728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47059200).

30352728 is an abundant number, since it is smaller than the sum of its proper divisors (63765672).

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

30352728 is a wasteful number, since it uses less digits than its factorization.

30352728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 30352728 is about 5509.3309938685. The cubic root of 30352728 is about 311.9362953433.

The spelling of 30352728 in words is "thirty million, three hundred fifty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 37 38 42 56 57 74 76 84 111 114 133 148 152 168 222 228 257 259 266 296 399 444 456 514 518 532 703 771 777 798 888 1028 1036 1064 1406 1542 1554 1596 1799 2056 2072 2109 2812 3084 3108 3192 3598 4218 4883 4921 5397 5624 6168 6216 7196 8436 9509 9766 9842 10794 14392 14649 14763 16872 19018 19532 19684 21588 28527 29298 29526 34181 38036 39064 39368 43176 57054 58596 59052 66563 68362 76072 102543 114108 117192 118104 133126 136724 180671 199689 205086 228216 266252 273448 361342 399378 410172 532504 542013 722684 798756 820344 1084026 1264697 1445368 1597512 2168052 2529394 3794091 4336104 5058788 7588182 10117576 15176364 30352728