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30364134000 = 2435320992411
BaseRepresentation
bin11100010001110101…
…111110101001110000
32220101010110211022120
4130101311332221300
5444141204242000
621541000434240
72123310611004
oct342165765160
986333424276
1030364134000
1111971842322
125a74a78980
132b2b9596c5
141680954704
15bcaaa56a0
hex711d7ea70

30364134000 has 160 divisors (see below), whose sum is σ = 97981228800. Its totient is φ = 8089888000.

The previous prime is 30364133977. The next prime is 30364134013. The reversal of 30364134000 is 43146303.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12592795 + ... + 12595205.

It is an arithmetic number, because the mean of its divisors is an integer number (612382680).

Almost surely, 230364134000 is an apocalyptic number.

30364134000 is a gapful number since it is divisible by the number (30) 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 30364134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48990614400).

30364134000 is an abundant number, since it is smaller than the sum of its proper divisors (67617094800).

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

30364134000 is a wasteful number, since it uses less digits than its factorization.

30364134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 30364134000 in words is "thirty billion, three hundred sixty-four million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2099 2411 3000 4198 4822 6000 6297 7233 8396 9644 10495 12055 12594 14466 16792 19288 20990 24110 25188 28932 31485 33584 36165 38576 41980 48220 50376 52475 57864 60275 62970 72330 83960 96440 100752 104950 115728 120550 125940 144660 157425 167920 180825 192880 209900 241100 251880 262375 289320 301375 314850 361650 419800 482200 503760 524750 578640 602750 629700 723300 787125 839600 904125 964400 1049500 1205500 1259400 1446600 1574250 1808250 2099000 2411000 2518800 2893200 3148500 3616500 4198000 4822000 5060689 6297000 7233000 10121378 12594000 14466000 15182067 20242756 25303445 30364134 40485512 50606890 60728268 75910335 80971024 101213780 121456536 126517225 151820670 202427560 242913072 253034450 303641340 379551675 404855120 506068900 607282680 632586125 759103350 1012137800 1214565360 1265172250 1518206700 1897758375 2024275600 2530344500 3036413400 3795516750 5060689000 6072826800 7591033500 10121378000 15182067000 30364134000