Search a number
-
+
3455400 = 2335213443
BaseRepresentation
bin1101001011100110101000
320111112220210
431023212220
51341033100
6202021120
741241024
oct15134650
96445823
103455400
111a50103
1211a77a0
1393ca20
1465d384
15483c50
hex34b9a8

3455400 has 96 divisors (see below), whose sum is σ = 11561760. Its totient is φ = 848640.

The previous prime is 3455383. The next prime is 3455407. The reversal of 3455400 is 45543.

It is a happy number.

3455400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3455407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7579 + ... + 8021.

It is an arithmetic number, because the mean of its divisors is an integer number (120435).

Almost surely, 23455400 is an apocalyptic number.

3455400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780880).

3455400 is an abundant number, since it is smaller than the sum of its proper divisors (8106360).

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

3455400 is a wasteful number, since it uses less digits than its factorization.

3455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 3455400 is about 1858.8706248688. The cubic root of 3455400 is about 151.1817760293.

The spelling of 3455400 in words is "three million, four hundred fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 443 520 600 650 780 886 975 1300 1329 1560 1772 1950 2215 2600 2658 3544 3900 4430 5316 5759 6645 7800 8860 10632 11075 11518 13290 17277 17720 22150 23036 26580 28795 33225 34554 44300 46072 53160 57590 66450 69108 86385 88600 115180 132900 138216 143975 172770 230360 265800 287950 345540 431925 575900 691080 863850 1151800 1727700 3455400