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20403103434 = 2372713792579
BaseRepresentation
bin10011000000000111…
…101010011011001010
31221122221001001012120
4103000013222123022
5313241143302214
613212325152110
71321415342400
oct230007523312
957587031176
1020403103434
11872002465a
123b54b5b636
131c0206498c
14db7a57470
157e6343ea9
hex4c01ea6ca

20403103434 has 96 divisors (see below), whose sum is σ = 48282739200. Its totient is φ = 5729965920.

The previous prime is 20403103433. The next prime is 20403103447. The reversal of 20403103434 is 43430130402.

It is not an unprimeable number, because it can be changed into a prime (20403103433) 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, 7909957 + ... + 7912535.

It is an arithmetic number, because the mean of its divisors is an integer number (502945200).

Almost surely, 220403103434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20403103434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24141369600).

20403103434 is an abundant number, since it is smaller than the sum of its proper divisors (27879635766).

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

20403103434 is a wasteful number, since it uses less digits than its factorization.

20403103434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20403103434 its reverse (43430130402), we get a palindrome (63833233836).

The spelling of 20403103434 in words is "twenty billion, four hundred three million, one hundred three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 379 426 497 758 994 1137 1491 2274 2579 2653 2982 3479 5158 5306 6958 7737 7959 10437 15474 15918 18053 18571 20874 26909 36106 37142 53818 54159 55713 80727 108318 111426 126371 161454 183109 188363 252742 366218 376726 379113 549327 565089 758226 977441 1098654 1130178 1281763 1318541 1954882 2563526 2637082 2932323 3845289 3955623 5864646 6842087 7690578 7911246 8972341 13684174 17944682 20526261 26917023 41052522 47894609 53834046 69398311 95789218 138796622 143683827 208194933 287367654 416389866 485788177 971576354 1457364531 2914729062 3400517239 6801034478 10201551717 20403103434