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20405340330 = 23523731372957
BaseRepresentation
bin10011000000010000…
…001100100010101010
31221200002020200122120
4103000100030202222
5313242231342310
613212445132110
71321443350064
oct230020144252
957602220576
1020405340330
118721312231
123b5585a036
131c02668b9b
14db807a734
157e6636b70
hex4c040c8aa

20405340330 has 128 divisors (see below), whose sum is σ = 52197861888. Its totient is φ = 5094346752.

The previous prime is 20405340299. The next prime is 20405340341. The reversal of 20405340330 is 3304350402.

It is a self number, because there is not a number n which added to its sum of digits gives 20405340330.

It is an unprimeable number.

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, 6899212 + ... + 6902168.

It is an arithmetic number, because the mean of its divisors is an integer number (407795796).

Almost surely, 220405340330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20405340330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26098930944).

20405340330 is an abundant number, since it is smaller than the sum of its proper divisors (31792521558).

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

20405340330 is a wasteful number, since it uses less digits than its factorization.

20405340330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200.

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 20405340330 its reverse (3304350402), we get a palindrome (23709690732).

The spelling of 20405340330 in words is "twenty billion, four hundred five million, three hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 73 115 137 138 146 219 230 274 345 365 411 438 685 690 730 822 1095 1370 1679 2055 2190 2957 3151 3358 4110 5037 5914 6302 8395 8871 9453 10001 10074 14785 15755 16790 17742 18906 20002 25185 29570 30003 31510 44355 47265 50005 50370 60006 68011 88710 94530 100010 136022 150015 204033 215861 230023 300030 340055 405109 408066 431722 460046 647583 680110 690069 810218 1020165 1079305 1150115 1215327 1295166 1380138 2025545 2040330 2158610 2300230 2430654 3237915 3450345 4051090 4964803 6076635 6475830 6900690 9317507 9929606 12153270 14894409 18635014 24824015 27952521 29572957 29788818 46587535 49648030 55905042 59145914 74472045 88718871 93175070 139762605 147864785 148944090 177437742 279525210 295729570 443594355 680178011 887188710 1360356022 2040534033 3400890055 4081068066 6801780110 10202670165 20405340330