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334004140350 = 232522935971293
BaseRepresentation
bin1001101110001000011…
…00101011100100111110
31011221010022201100001200
410313010030223210332
520433020024442400
6413234523520330
733062635230636
oct4670414534476
91157108640050
10334004140350
111197176a2231
12548953890a6
132565b934b0a
141224729b6c6
158a4cac9b00
hex4dc432b93e

334004140350 has 144 divisors (see below), whose sum is σ = 930900016800. Its totient is φ = 85755720960.

The previous prime is 334004140343. The next prime is 334004140423. The reversal of 334004140350 is 53041400433.

It is a super-2 number, since 2×3340041403502 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4649304 + ... + 4720596.

It is an arithmetic number, because the mean of its divisors is an integer number (6464583450).

Almost surely, 2334004140350 is an apocalyptic number.

334004140350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334004140350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465450008400).

334004140350 is an abundant number, since it is smaller than the sum of its proper divisors (596895876450).

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

334004140350 is a wasteful number, since it uses less digits than its factorization.

334004140350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71699 (or 71691 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 334004140350 its reverse (53041400433), we get a palindrome (387045540783).

The spelling of 334004140350 in words is "three hundred thirty-four billion, four million, one hundred forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 359 435 450 522 718 725 870 1077 1305 1450 1795 2154 2175 2610 3231 3590 4350 5385 6462 6525 8975 10411 10770 13050 16155 17950 20822 26925 31233 32310 52055 53850 62466 71293 80775 93699 104110 142586 156165 161550 187398 213879 260275 312330 356465 427758 468495 520550 641637 712930 780825 936990 1069395 1283274 1561650 1782325 2067497 2138790 2342475 3208185 3564650 4134994 4684950 5346975 6202491 6416370 10337485 10693950 12404982 16040925 18607473 20674970 25594187 31012455 32081850 37214946 51188374 51687425 62024910 76782561 93037365 103374850 127970935 153565122 155062275 186074730 230347683 255941870 310124550 383912805 460695366 465186825 639854675 742231423 767825610 930373650 1151738415 1279709350 1484462846 1919564025 2226694269 2303476830 3711157115 3839128050 4453388538 5758692075 6680082807 7422314230 11133471345 11517384150 13360165614 18555785575 22266942690 33400414035 37111571150 55667356725 66800828070 111334713450 167002070175 334004140350