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305030520 = 233256731259
BaseRepresentation
bin10010001011100…
…110010101111000
3210020222011012200
4102023212111320
51111041434040
650133510200
710362500544
oct2213462570
9706864180
10305030520
111471aaa43
12861a2360
134b26c742
142c722a24
151bba4630
hex122e6578

305030520 has 96 divisors (see below), whose sum is σ = 993610800. Its totient is φ = 81156096.

The previous prime is 305030513. The next prime is 305030521. The reversal of 305030520 is 25030503.

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

It is a junction number, because it is equal to n+sod(n) for n = 305030493 and 305030502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305030521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241651 + ... + 242909.

Almost surely, 2305030520 is an apocalyptic number.

305030520 is a gapful number since it is divisible by the number (30) 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 305030520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496805400).

305030520 is an abundant number, since it is smaller than the sum of its proper divisors (688580280).

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

305030520 is a wasteful number, since it uses less digits than its factorization.

305030520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 305030520 is about 17465.1229597733. The cubic root of 305030520 is about 673.1540014092.

The spelling of 305030520 in words is "three hundred five million, thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 673 1259 1346 2019 2518 2692 3365 3777 4038 5036 5384 6057 6295 6730 7554 8076 10072 10095 11331 12114 12590 13460 15108 16152 18885 20190 22662 24228 25180 26920 30216 30285 37770 40380 45324 48456 50360 56655 60570 75540 80760 90648 113310 121140 151080 226620 242280 453240 847307 1694614 2541921 3389228 4236535 5083842 6778456 7625763 8473070 10167684 12709605 15251526 16946140 20335368 25419210 30503052 33892280 38128815 50838420 61006104 76257630 101676840 152515260 305030520