Search a number
-
+
3480091320320 = 2135731163879
BaseRepresentation
bin110010101001000101100…
…110110110000000000000
3110022200201112210021100222
4302221011212312000000
5424004211334222240
611222422030402212
7506266623101516
oct62510546660000
913280645707328
103480091320320
11112199790849a
1248256b660368
131c322c197c34
14c061a0064b6
15607d2648eb5
hex32a459b6000

3480091320320 has 112 divisors (see below), whose sum is σ = 8466123641760. Its totient is φ = 1372966354944.

The previous prime is 3480091320301. The next prime is 3480091320359. The reversal of 3480091320320 is 230231900843.

It is a super-2 number, since 2×34800913203202 (a number of 26 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 7 ways as a sum of consecutive naturals, for example, 2408141 + ... + 3572019.

Almost surely, 23480091320320 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 3480091320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233061820880).

3480091320320 is an abundant number, since it is smaller than the sum of its proper divisors (4986032321440).

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

3480091320320 is an equidigital number, since it uses as much as digits as its factorization.

3480091320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163983 (or 1163959 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 3480091320320 in words is "three trillion, four hundred eighty billion, ninety-one million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 512 584 640 730 1024 1168 1280 1460 2048 2336 2560 2920 4096 4672 5120 5840 8192 9344 10240 11680 18688 20480 23360 37376 40960 46720 74752 93440 149504 186880 299008 373760 598016 747520 1163879 1495040 2327758 2990080 4655516 5819395 9311032 11638790 18622064 23277580 37244128 46555160 74488256 84963167 93110320 148976512 169926334 186220640 297953024 339852668 372441280 424815835 595906048 679705336 744882560 849631670 1191812096 1359410672 1489765120 1699263340 2383624192 2718821344 2979530240 3398526680 4767248384 5437642688 5959060480 6797053360 9534496768 10875285376 11918120960 13594106720 21750570752 23836241920 27188213440 43501141504 47672483840 54376426880 87002283008 108752853760 174004566016 217505707520 348009132032 435011415040 696018264064 870022830080 1740045660160 3480091320320