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334201043000 = 235311131231923
BaseRepresentation
bin1001101110011111110…
…11110011100000111000
31011221122001020000201102
410313033323303200320
520433420431334000
6413310240110532
733100545665066
oct4671773634070
91157561200642
10334201043000
1111980885a0a0
125492b305448
1325690676366
14122654b5036
158a600213d5
hex4dcfef3838

334201043000 has 128 divisors (see below), whose sum is σ = 859640221440. Its totient is φ = 120599440000.

The previous prime is 334201042999. The next prime is 334201043047. The reversal of 334201043000 is 340102433.

It is a super-2 number, since 2×3342010430002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 1325039 + ... + 1556961.

It is an arithmetic number, because the mean of its divisors is an integer number (6715939230).

Almost surely, 2334201043000 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 334201043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429820110720).

334201043000 is an abundant number, since it is smaller than the sum of its proper divisors (525439178440).

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

334201043000 is a wasteful number, since it uses less digits than its factorization.

334201043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232086 (or 232072 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 334201043000 its reverse (340102433), we get a palindrome (334541145433).

The spelling of 334201043000 in words is "three hundred thirty-four billion, two hundred one million, forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 131 200 220 250 262 275 440 500 524 550 655 1000 1048 1100 1310 1375 1441 2200 2620 2750 2882 3275 5240 5500 5764 6550 7205 11000 11528 13100 14410 16375 26200 28820 32750 36025 57640 65500 72050 131000 144100 180125 231923 288200 360250 463846 720500 927692 1159615 1441000 1855384 2319230 2551153 4638460 5102306 5798075 9276920 10204612 11596150 12755765 20409224 23192300 25511530 28990375 30381913 46384600 51023060 57980750 60763826 63778825 102046120 115961500 121527652 127557650 151909565 231923000 243055304 255115300 303819130 318894125 334201043 510230600 607638260 637788250 668402086 759547825 1215276520 1275576500 1336804172 1519095650 1671005215 2551153000 2673608344 3038191300 3342010430 3797739125 6076382600 6684020860 7595478250 8355026075 13368041720 15190956500 16710052150 30381913000 33420104300 41775130375 66840208600 83550260750 167100521500 334201043000