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34312003000 = 2353119373329
BaseRepresentation
bin11111111101001001…
…111001110110111000
310021120021002100110221
4133331021321312320
51030232333044000
623432425145424
72323166133112
oct377511716670
9107507070427
1034312003000
111360825a780
12679702b274
13330a827a72
141936db83b2
15d5c47e61a
hex7fd279db8

34312003000 has 128 divisors (see below), whose sum is σ = 87709003200. Its totient is φ = 12460032000.

The previous prime is 34312002983. The next prime is 34312003003. The reversal of 34312003000 is 30021343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312003003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10305336 + ... + 10308664.

Almost surely, 234312003000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34312003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43854501600).

34312003000 is an abundant number, since it is smaller than the sum of its proper divisors (53397000200).

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

34312003000 is a wasteful number, since it uses less digits than its factorization.

34312003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 34312003000 its reverse (30021343), we get a palindrome (34342024343).

The spelling of 34312003000 in words is "thirty-four billion, three hundred twelve million, three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 937 1000 1100 1375 1874 2200 2750 3329 3748 4685 5500 6658 7496 9370 10307 11000 13316 16645 18740 20614 23425 26632 33290 36619 37480 41228 46850 51535 66580 73238 82456 83225 93700 103070 117125 133160 146476 166450 183095 187400 206140 234250 257675 292952 332900 366190 412280 416125 468500 515350 665800 732380 832250 915475 937000 1030700 1288375 1464760 1664500 1830950 2061400 2576750 3119273 3329000 3661900 4577375 5153500 6238546 7323800 9154750 10307000 12477092 15596365 18309500 24954184 31192730 34312003 36619000 62385460 68624006 77981825 124770920 137248012 155963650 171560015 274496024 311927300 343120030 389909125 623854600 686240060 779818250 857800075 1372480120 1559636500 1715600150 3119273000 3431200300 4289000375 6862400600 8578000750 17156001500 34312003000