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334170729620 = 225713233788027
BaseRepresentation
bin1001101110011100010…
…00001010110010010100
31011221112221011221120122
410313032020022302110
520433340201321440
6413303234251112
733100030222640
oct4671610126224
91157487157518
10334170729620
111197a2735212
1254921126a98
13256872c1850
1412261463c20
158a5c5347b5
hex4dce20ac94

334170729620 has 96 divisors (see below), whose sum is σ = 867410788608. Its totient is φ = 105305490432.

The previous prime is 334170729593. The next prime is 334170729623. The reversal of 334170729620 is 26927071433.

It is a super-2 number, since 2×3341707296202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334170729623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30047 + ... + 818073.

It is an arithmetic number, because the mean of its divisors is an integer number (9035529048).

Almost surely, 2334170729620 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 334170729620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433705394304).

334170729620 is an abundant number, since it is smaller than the sum of its proper divisors (533240058988).

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

334170729620 is a wasteful number, since it uses less digits than its factorization.

334170729620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788289 (or 788287 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The spelling of 334170729620 in words is "three hundred thirty-four billion, one hundred seventy million, seven hundred twenty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 233 260 364 455 466 910 932 1165 1631 1820 2330 3029 3262 4660 6058 6524 8155 12116 15145 16310 21203 30290 32620 42406 60580 84812 106015 212030 424060 788027 1576054 3152108 3940135 5516189 7880270 10244351 11032378 15760540 20488702 22064756 27580945 40977404 51221755 55161890 71710457 102443510 110323780 143420914 183610291 204887020 286841828 358552285 367220582 717104570 734441164 918051455 1285272037 1434209140 1836102910 2386933783 2570544074 3672205820 4773867566 5141088148 6426360185 9547735132 11934668915 12852720370 16708536481 23869337830 25705440740 33417072962 47738675660 66834145924 83542682405 167085364810 334170729620