[go: up one dir, main page]

Search a number
-
+
3453400 = 235231557
BaseRepresentation
bin1101001011000111011000
320111110011201
431023013120
51341002100
6202003544
741232136
oct15130730
96443151
103453400
111a49655
1211a65b4
1393bb42
1465c756
1548336a
hex34b1d8

3453400 has 48 divisors (see below), whose sum is σ = 8303040. Its totient is φ = 1334400.

The previous prime is 3453379. The next prime is 3453403. The reversal of 3453400 is 43543.

3453400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3453403) 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 11 ways as a sum of consecutive naturals, for example, 5922 + ... + 6478.

It is an arithmetic number, because the mean of its divisors is an integer number (172980).

Almost surely, 23453400 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 3453400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151520).

3453400 is an abundant number, since it is smaller than the sum of its proper divisors (4849640).

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

3453400 is a wasteful number, since it uses less digits than its factorization.

3453400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 3453400 is about 1858.3325859490. The cubic root of 3453400 is about 151.1526021847.

Adding to 3453400 its reverse (43543), we get a palindrome (3496943).

The spelling of 3453400 in words is "three million, four hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 557 620 775 1114 1240 1550 2228 2785 3100 4456 5570 6200 11140 13925 17267 22280 27850 34534 55700 69068 86335 111400 138136 172670 345340 431675 690680 863350 1726700 3453400