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104323434000 = 2435341424079
BaseRepresentation
bin110000100101000101…
…0010100011000010000
3100222021110221112201220
41201022022110120100
53202123244342000
6115531525125040
710352142362232
oct1411212243020
9328243845656
10104323434000
114027494a055
1218275859780
139ab7445406
145099328252
152aa8a9c1a0
hex184a294610

104323434000 has 160 divisors (see below), whose sum is σ = 344542947840. Its totient is φ = 27140992000.

The previous prime is 104323433999. The next prime is 104323434029. The reversal of 104323434000 is 434323401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33961 + ... + 458039.

It is an arithmetic number, because the mean of its divisors is an integer number (2153393424).

Almost surely, 2104323434000 is an apocalyptic number.

104323434000 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 104323434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172271473920).

104323434000 is an abundant number, since it is smaller than the sum of its proper divisors (240219513840).

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

104323434000 is a wasteful number, since it uses less digits than its factorization.

104323434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424146 (or 424130 counting only the distinct ones).

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

Adding to 104323434000 its reverse (434323401), we get a palindrome (104757757401).

The spelling of 104323434000 in words is "one hundred four billion, three hundred twenty-three million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 240 246 250 300 328 375 400 410 492 500 600 615 656 750 820 984 1000 1025 1200 1230 1500 1640 1968 2000 2050 2460 3000 3075 3280 4100 4920 5125 6000 6150 8200 9840 10250 12300 15375 16400 20500 24600 30750 41000 49200 61500 82000 123000 246000 424079 848158 1272237 1696316 2120395 2544474 3392632 4240790 5088948 6361185 6785264 8481580 10177896 10601975 12722370 16963160 17387239 20355792 21203950 25444740 31805925 33926320 34774478 42407900 50889480 52161717 53009875 63611850 69548956 84815800 86936195 101778960 104323434 106019750 127223700 139097912 159029625 169631600 173872390 208646868 212039500 254447400 260808585 278195824 318059250 347744780 417293736 424079000 434680975 508894800 521617170 636118500 695489560 834587472 848158000 869361950 1043234340 1272237000 1304042925 1390979120 1738723900 2086468680 2173404875 2544474000 2608085850 3477447800 4172937360 4346809750 5216171700 6520214625 6954895600 8693619500 10432343400 13040429250 17387239000 20864686800 26080858500 34774478000 52161717000 104323434000