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6034430820 = 22351144320639
BaseRepresentation
bin1011001111010111…
…00001101101100100
3120120112211211212210
411213223201231210
544324303241240
62434442443420
7302352546525
oct54753415544
916515754783
106034430820
112617308210
121204b03570
13752262732
1441361284c
15254b89780
hex167ae1b64

6034430820 has 96 divisors (see below), whose sum is σ = 18474946560. Its totient is φ = 1459519360.

The previous prime is 6034430813. The next prime is 6034430839. The reversal of 6034430820 is 280344306.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282061 + ... + 302699.

It is an arithmetic number, because the mean of its divisors is an integer number (192447360).

Almost surely, 26034430820 is an apocalyptic number.

6034430820 is a gapful number since it is divisible by the number (60) 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 6034430820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9237473280).

6034430820 is an abundant number, since it is smaller than the sum of its proper divisors (12440515740).

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

6034430820 is a wasteful number, since it uses less digits than its factorization.

6034430820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21105 (or 21103 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6034430820 is about 77681.5989794237. The cubic root of 6034430820 is about 1820.5897959670.

The spelling of 6034430820 in words is "six billion, thirty-four million, four hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 443 660 886 1329 1772 2215 2658 4430 4873 5316 6645 8860 9746 13290 14619 19492 20639 24365 26580 29238 41278 48730 58476 61917 73095 82556 97460 103195 123834 146190 206390 227029 247668 292380 309585 412780 454058 619170 681087 908116 1135145 1238340 1362174 2270290 2724348 3405435 4540580 6810870 9143077 13621740 18286154 27429231 36572308 45715385 54858462 91430770 100573847 109716924 137146155 182861540 201147694 274292310 301721541 402295388 502869235 548584620 603443082 1005738470 1206886164 1508607705 2011476940 3017215410 6034430820