Search a number
-
+
3441400000 = 265517207
BaseRepresentation
bin1100110100011111…
…1001100011000000
322212211121020022021
43031013321203000
524021444300000
61325253051224
7151165263103
oct31507714300
98784536267
103441400000
111506642835
12800626b14
1342ac8c97c
142490a673a
151521d411a
hexcd1f98c0

3441400000 has 84 divisors (see below), whose sum is σ = 8536234896. Its totient is φ = 1376480000.

The previous prime is 3441399989. The next prime is 3441400051. The reversal of 3441400000 is 41443.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191397 + ... + 208603.

It is an arithmetic number, because the mean of its divisors is an integer number (101621844).

Almost surely, 23441400000 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 3441400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268117448).

3441400000 is an abundant number, since it is smaller than the sum of its proper divisors (5094834896).

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

3441400000 is an frugal number, since it uses more digits than its factorization.

3441400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17244 (or 17214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3441400000 is about 58663.4468813417. The cubic root of 3441400000 is about 1509.7732215021.

Adding to 3441400000 its reverse (41443), we get a palindrome (3441441443).

The spelling of 3441400000 in words is "three billion, four hundred forty-one million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 17207 20000 25000 34414 40000 50000 68828 86035 100000 137656 172070 200000 275312 344140 430175 550624 688280 860350 1101248 1376560 1720700 2150875 2753120 3441400 4301750 5506240 6882800 8603500 10754375 13765600 17207000 21508750 27531200 34414000 43017500 53771875 68828000 86035000 107543750 137656000 172070000 215087500 344140000 430175000 688280000 860350000 1720700000 3441400000