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20034311304 = 23372139122561
BaseRepresentation
bin10010101010001000…
…110101010010001000
31220201020002110111210
4102222020311102020
5312012240430204
613111552453120
71306316556600
oct225210652210
956636073453
1020034311304
118550934677
123a7154a1a0
131b7382c097
14d80a97c00
157c3c97389
hex4aa235488

20034311304 has 96 divisors (see below), whose sum is σ = 58682685600. Its totient is φ = 5682862080.

The previous prime is 20034311293. The next prime is 20034311327. The reversal of 20034311304 is 40311343002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102184 + ... + 224744.

It is an arithmetic number, because the mean of its divisors is an integer number (611277975).

Almost surely, 220034311304 is an apocalyptic number.

20034311304 is a gapful number since it is divisible by the number (24) 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 20034311304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29341342800).

20034311304 is an abundant number, since it is smaller than the sum of its proper divisors (38648374296).

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

20034311304 is a wasteful number, since it uses less digits than its factorization.

20034311304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122723 (or 122712 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20034311304 its reverse (40311343002), we get a palindrome (60345654306).

The spelling of 20034311304 in words is "twenty billion, thirty-four million, three hundred eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 139 147 168 196 278 294 392 417 556 588 834 973 1112 1176 1668 1946 2919 3336 3892 5838 6811 7784 11676 13622 20433 23352 27244 40866 54488 81732 122561 163464 245122 367683 490244 735366 857927 980488 1470732 1715854 2573781 2941464 3431708 5147562 6005489 6863416 10295124 12010978 17035979 18016467 20590248 24021956 34071958 36032934 48043912 51107937 68143916 72065868 102215874 119251853 136287832 144131736 204431748 238503706 357755559 408863496 477007412 715511118 834762971 954014824 1431022236 1669525942 2504288913 2862044472 3339051884 5008577826 6678103768 10017155652 20034311304