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30340022020 = 2257117323697
BaseRepresentation
bin11100010000011001…
…111111111100000100
32220022110002210220021
4130100121333330010
5444114021201040
621534335544524
72122565634460
oct342031777404
986273083807
1030340022020
111195a173670
125a6898b144
132b26966769
14167b6794a0
15bc88e124a
hex71067ff04

30340022020 has 144 divisors (see below), whose sum is σ = 80560545408. Its totient is φ = 9324564480.

The previous prime is 30340021979. The next prime is 30340022021. The reversal of 30340022020 is 2022004303.

It is a junction number, because it is equal to n+sod(n) for n = 30340021985 and 30340022003.

It is not an unprimeable number, because it can be changed into a prime (30340022021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8204812 + ... + 8208508.

It is an arithmetic number, because the mean of its divisors is an integer number (559448232).

Almost surely, 230340022020 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 30340022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40280272704).

30340022020 is an abundant number, since it is smaller than the sum of its proper divisors (50220523388).

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

30340022020 is a wasteful number, since it uses less digits than its factorization.

30340022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 30340022020 its reverse (2022004303), we get a palindrome (32362026323).

The spelling of 30340022020 in words is "thirty billion, three hundred forty million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 770 803 1022 1460 1540 1606 2044 2555 3212 3697 4015 5110 5329 5621 7394 8030 10220 10658 11242 14788 16060 18485 21316 22484 25879 26645 28105 36970 37303 40667 51758 53290 56210 58619 73940 74606 81334 103516 106580 112420 117238 129395 149212 162668 186515 203335 234476 258790 269881 284669 293095 373030 406670 410333 517580 539762 569338 586190 746060 813340 820666 1079524 1138676 1172380 1349405 1423345 1641332 1889167 2051665 2698810 2846690 2968691 3778334 4103330 5397620 5693380 5937382 7556668 8206660 9445835 11874764 14843455 18891670 19701313 20780837 29686910 37783340 39402626 41561674 59373820 78805252 83123348 98506565 103904185 137909191 197013130 207808370 216714443 275818382 394026260 415616740 433428886 551636764 689545955 866857772 1083572215 1379091910 1517001101 2167144430 2758183820 3034002202 4334288860 6068004404 7585005505 15170011010 30340022020