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104304104400 = 24352269323123
BaseRepresentation
bin110000100100100000…
…0100101001111010000
3100222020010120111111210
41201021000211033100
53202103322320100
6115525554540120
710351516154556
oct1411100451720
9328203514453
10104304104400
1140264a47481
121826b297640
139ab3438192
145096935bd6
152aa702ec50
hex18490253d0

104304104400 has 120 divisors (see below), whose sum is σ = 335363937120. Its totient is φ = 27710942720.

The previous prime is 104304104393. The next prime is 104304104417. The reversal of 104304104400 is 4401403401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 161239 + ... + 484361.

It is an arithmetic number, because the mean of its divisors is an integer number (2794699476).

Almost surely, 2104304104400 is an apocalyptic number.

104304104400 is a gapful number since it is divisible by the number (10) 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 104304104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167681968560).

104304104400 is an abundant number, since it is smaller than the sum of its proper divisors (231059832720).

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

104304104400 is a wasteful number, since it uses less digits than its factorization.

104304104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323413 (or 323402 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 104304104400 its reverse (4401403401), we get a palindrome (108705507801).

The spelling of 104304104400 in words is "one hundred four billion, three hundred four million, one hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 269 300 400 538 600 807 1076 1200 1345 1614 2152 2690 3228 4035 4304 5380 6456 6725 8070 10760 12912 13450 16140 20175 21520 26900 32280 40350 53800 64560 80700 107600 161400 322800 323123 646246 969369 1292492 1615615 1938738 2584984 3231230 3877476 4846845 5169968 6462460 7754952 8078075 9693690 12924920 15509904 16156150 19387380 24234225 25849840 32312300 38774760 48468450 64624600 77549520 86920087 96936900 129249200 173840174 193873800 260760261 347680348 387747600 434600435 521520522 695360696 869200870 1043041044 1303801305 1390721392 1738401740 2086082088 2173002175 2607602610 3476803480 4172164176 4346004350 5215205220 6519006525 6953606960 8692008700 10430410440 13038013050 17384017400 20860820880 26076026100 34768034800 52152052200 104304104400