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20430003400 = 2352894312663
BaseRepresentation
bin10011000001101110…
…010001110011001000
31221201210122201000121
4103001232101303020
5313320040102100
613215125513024
71322163110062
oct230156216310
957653581017
1020430003400
118734227a34
123b61b72774
131c077c2911
14dbb45a732
157e88a951a
hex4c1b91cc8

20430003400 has 96 divisors (see below), whose sum is σ = 48162988800. Its totient is φ = 8058406400.

The previous prime is 20430003359. The next prime is 20430003401. The reversal of 20430003400 is 430003402.

It is not an unprimeable number, because it can be changed into a prime (20430003401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7670469 + ... + 7673131.

It is an arithmetic number, because the mean of its divisors is an integer number (501697800).

Almost surely, 220430003400 is an apocalyptic number.

20430003400 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 20430003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24081494400).

20430003400 is an abundant number, since it is smaller than the sum of its proper divisors (27732985400).

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

20430003400 is a wasteful number, since it uses less digits than its factorization.

20430003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3190 counting only the distinct ones).

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

Adding to 20430003400 its reverse (430003402), we get a palindrome (20860006802).

The spelling of 20430003400 in words is "twenty billion, four hundred thirty million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 431 445 712 862 890 1724 1780 2155 2225 2663 3448 3560 4310 4450 5326 8620 8900 10652 10775 13315 17240 17800 21304 21550 26630 38359 43100 53260 66575 76718 86200 106520 133150 153436 191795 237007 266300 306872 383590 474014 532600 767180 948028 958975 1147753 1185035 1534360 1896056 1917950 2295506 2370070 3835900 4591012 4740140 5738765 5925175 7671800 9182024 9480280 11477530 11850350 22955060 23700700 28693825 45910120 47401400 57387650 102150017 114775300 204300034 229550600 408600068 510750085 817200136 1021500170 2043000340 2553750425 4086000680 5107500850 10215001700 20430003400