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20434302360 = 23325401141551
BaseRepresentation
bin10011000001111110…
…101011010110011000
31221202002202010002100
4103001332223112120
5313322140133420
613215402003400
71322244463353
oct230176532630
957662663070
1020434302360
1187366a389a
123b634a6560
131c08669594
14dbbc5929a
157e8e58190
hex4c1fab598

20434302360 has 96 divisors (see below), whose sum is σ = 66577567680. Its totient is φ = 5435520000.

The previous prime is 20434302349. The next prime is 20434302373. The reversal of 20434302360 is 6320343402.

It is a happy number.

20434302360 is a `hidden beast` number, since 204 + 3 + 430 + 23 + 6 + 0 = 666.

It is a super-3 number, since 3×204343023603 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73585 + ... + 215135.

It is an arithmetic number, because the mean of its divisors is an integer number (693516330).

Almost surely, 220434302360 is an apocalyptic number.

20434302360 is a gapful number since it is divisible by the number (20) 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 20434302360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33288783840).

20434302360 is an abundant number, since it is smaller than the sum of its proper divisors (46143265320).

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

20434302360 is a wasteful number, since it uses less digits than its factorization.

20434302360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141969 (or 141962 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20434302360 its reverse (6320343402), we get a palindrome (26754645762).

The spelling of 20434302360 in words is "twenty billion, four hundred thirty-four million, three hundred two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 401 802 1203 1604 2005 2406 3208 3609 4010 4812 6015 7218 8020 9624 12030 14436 16040 18045 24060 28872 36090 48120 72180 141551 144360 283102 424653 566204 707755 849306 1132408 1273959 1415510 1698612 2123265 2547918 2831020 3397224 4246530 5095836 5662040 6369795 8493060 10191672 12739590 16986120 25479180 50958360 56761951 113523902 170285853 227047804 283809755 340571706 454095608 510857559 567619510 681143412 851429265 1021715118 1135239020 1362286824 1702858530 2043430236 2270478040 2554287795 3405717060 4086860472 5108575590 6811434120 10217151180 20434302360