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30503148 = 22313489
BaseRepresentation
bin111010001011…
…1000011101100
32010101201110020
41310113003230
530302100043
63005442140
7520162314
oct164270354
963351406
1030503148
1116244515
12a270350
136420000
1440a0444
152a27e83
hex1d170ec

30503148 has 60 divisors (see below), whose sum is σ = 77971320. Its totient is φ = 9280128.

The previous prime is 30503119. The next prime is 30503149. The reversal of 30503148 is 84130503.

It is a super-3 number, since 3×305031483 (a number of 23 digits) contains 333 as substring.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (30503149) 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 19 ways as a sum of consecutive naturals, for example, 342688 + ... + 342776.

It is an arithmetic number, because the mean of its divisors is an integer number (1299522).

Almost surely, 230503148 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 30503148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38985660).

30503148 is an abundant number, since it is smaller than the sum of its proper divisors (47468172).

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

30503148 is an equidigital number, since it uses as much as digits as its factorization.

30503148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 30503148 is about 5522.9655077684. The cubic root of 30503148 is about 312.4507374080.

The spelling of 30503148 in words is "thirty million, five hundred three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 169 178 267 338 356 507 534 676 1014 1068 1157 2028 2197 2314 3471 4394 4628 6591 6942 8788 13182 13884 15041 26364 28561 30082 45123 57122 60164 85683 90246 114244 171366 180492 195533 342732 391066 586599 782132 1173198 2346396 2541929 5083858 7625787 10167716 15251574 30503148