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30261330 = 23351123443
BaseRepresentation
bin111001101110…
…0000001010010
32002221102202000
41303130001102
530221330310
63000334430
7515134311
oct163340122
962842660
1030261330
1116099870
12a174416
136366c18
14403a278
1529cb4c0
hex1cdc052

30261330 has 128 divisors (see below), whose sum is σ = 92067840. Its totient is φ = 7001280.

The previous prime is 30261299. The next prime is 30261331. The reversal of 30261330 is 3316203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30261331) 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 63 ways as a sum of consecutive naturals, for example, 68089 + ... + 68531.

It is an arithmetic number, because the mean of its divisors is an integer number (719280).

Almost surely, 230261330 is an apocalyptic number.

30261330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30261330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46033920).

30261330 is an abundant number, since it is smaller than the sum of its proper divisors (61806510).

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

30261330 is a wasteful number, since it uses less digits than its factorization.

30261330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 30261330 is about 5501.0299035726. The cubic root of 30261330 is about 311.6228801511.

Adding to 30261330 its reverse (3316203), we get a palindrome (33577533).

It can be divided in two parts, 3026 and 1330, that added together give a square (4356 = 662).

The spelling of 30261330 in words is "thirty million, two hundred sixty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 27 30 33 45 46 54 55 66 69 90 99 110 115 135 138 165 198 207 230 253 270 297 330 345 414 443 495 506 594 621 690 759 886 990 1035 1242 1265 1329 1485 1518 2070 2215 2277 2530 2658 2970 3105 3795 3987 4430 4554 4873 6210 6645 6831 7590 7974 9746 10189 11385 11961 13290 13662 14619 19935 20378 22770 23922 24365 29238 30567 34155 39870 43857 48730 50945 59805 61134 68310 73095 87714 91701 101890 112079 119610 131571 146190 152835 183402 219285 224158 263142 275103 305670 336237 438570 458505 550206 560395 657855 672474 917010 1008711 1120790 1315710 1375515 1681185 2017422 2751030 3026133 3362370 5043555 6052266 10087110 15130665 30261330