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3000724830 = 2325297116193
BaseRepresentation
bin1011001011011011…
…0110110101011110
321202010101121121200
42302312312311132
522121141143310
61213431540330
7134234511615
oct26266666536
97663347550
103000724830
1112aa915a84
126b8b2a6a6
1338a8a942c
1420675487c
151286889c0
hexb2db6d5e

3000724830 has 96 divisors (see below), whose sum is σ = 8185095360. Its totient is φ = 761671680.

The previous prime is 3000724819. The next prime is 3000724957. The reversal of 3000724830 is 384270003.

It is a junction number, because it is equal to n+sod(n) for n = 3000724794 and 3000724803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177214 + ... + 193406.

It is an arithmetic number, because the mean of its divisors is an integer number (85261410).

Almost surely, 23000724830 is an apocalyptic number.

3000724830 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 3000724830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092547680).

3000724830 is an abundant number, since it is smaller than the sum of its proper divisors (5184370530).

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

3000724830 is a wasteful number, since it uses less digits than its factorization.

3000724830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16306 (or 16303 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3000724830 is about 54778.8721132518. The cubic root of 3000724830 is about 1442.3657149269.

Adding to 3000724830 its reverse (384270003), we get a palindrome (3384994833).

The spelling of 3000724830 in words is "three billion, seven hundred twenty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 71 87 90 142 145 174 213 261 290 355 426 435 522 639 710 870 1065 1278 1305 2059 2130 2610 3195 4118 6177 6390 10295 12354 16193 18531 20590 30885 32386 37062 48579 61770 80965 92655 97158 145737 161930 185310 242895 291474 469597 485790 728685 939194 1149703 1408791 1457370 2299406 2347985 2817582 3449109 4226373 4695970 5748515 6898218 7043955 8452746 10347327 11497030 14087910 17245545 20694654 21131865 33341387 34491090 42263730 51736635 66682774 100024161 103473270 166706935 200048322 300072483 333413870 500120805 600144966 1000241610 1500362415 3000724830