Search a number
-
+
3403444000 = 25531177351
BaseRepresentation
bin1100101011011100…
…0110111100100000
322210012011212110111
43022313012330200
523432240202000
61321415341104
7150224540155
oct31267067440
98705155414
103403444000
111497178940
127ab981794
134231605b8
1424402622c
1514dbd7cba
hexcadc6f20

3403444000 has 96 divisors (see below), whose sum is σ = 9122585472. Its totient is φ = 1237600000.

The previous prime is 3403443997. The next prime is 3403444039. The reversal of 3403444000 is 4443043.

It is a happy number.

3403444000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34034440003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 5325 + ... + 82675.

It is an arithmetic number, because the mean of its divisors is an integer number (95026932).

Almost surely, 23403444000 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 3403444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561292736).

3403444000 is an abundant number, since it is smaller than the sum of its proper divisors (5719141472).

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

3403444000 is a wasteful number, since it uses less digits than its factorization.

3403444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77387 (or 77369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3403444000 is about 58339.0435300408. The cubic root of 3403444000 is about 1504.2021429296.

Adding to 3403444000 its reverse (4443043), we get a palindrome (3407887043).

The spelling of 3403444000 in words is "three billion, four hundred three million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 77351 154702 309404 386755 618808 773510 850861 1237616 1547020 1701722 1933775 2475232 3094040 3403444 3867550 4254305 6188080 6806888 7735100 8508610 9668875 12376160 13613776 15470200 17017220 19337750 21271525 27227552 30940400 34034440 38675500 42543050 61880800 68068880 77351000 85086100 106357625 136137760 154702000 170172200 212715250 309404000 340344400 425430500 680688800 850861000 1701722000 3403444000