Search a number
-
+
3432735425320 = 2352923831241819
BaseRepresentation
bin110001111100111110111…
…110011100001100101000
3110011011111020022112220221
4301330332332130030220
5422220220232102240
611144551001255424
7503002245452635
oct61747676341450
913134436275827
103432735425320
1111038a6724693
12475354194574
131bb9231712a6
14bc20691918c
155e45ee97a4a
hex31f3ef9c328

3432735425320 has 64 divisors (see below), whose sum is σ = 7993346976000. Its totient is φ = 1325188693248.

The previous prime is 3432735425311. The next prime is 3432735425347. The reversal of 3432735425320 is 235245372343.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2143371 + ... + 3385189.

It is an arithmetic number, because the mean of its divisors is an integer number (124896046500).

Almost surely, 23432735425320 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 3432735425320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996673488000).

3432735425320 is an abundant number, since it is smaller than the sum of its proper divisors (4560611550680).

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

3432735425320 is a wasteful number, since it uses less digits than its factorization.

3432735425320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244242 (or 1244238 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 43.

The spelling of 3432735425320 in words is "three trillion, four hundred thirty-two billion, seven hundred thirty-five million, four hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2383 4766 9532 11915 19064 23830 47660 69107 95320 138214 276428 345535 552856 691070 1241819 1382140 2483638 2764280 4967276 6209095 9934552 12418190 24836380 36012751 49672760 72025502 144051004 180063755 288102008 360127510 720255020 1440510040 2959254677 5918509354 11837018708 14796273385 23674037416 29592546770 59185093540 85818385633 118370187080 171636771266 343273542532 429091928165 686547085064 858183856330 1716367712660 3432735425320