Search a number
-
+
4313400 = 2335271379
BaseRepresentation
bin10000011101000100111000
322010010212120
4100131010320
52101012100
6232241240
751443340
oct20350470
98103776
104313400
1124867a3
121540220
13b80410
14803d20
155a30a0
hex41d138

4313400 has 192 divisors, whose sum is σ = 16665600. Its totient is φ = 898560.

The previous prime is 4313389. The next prime is 4313417. The reversal of 4313400 is 43134.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4313400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54561 + ... + 54639.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

Almost surely, 24313400 is an apocalyptic number.

4313400 is a gapful number since it is divisible by the number (40) 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 4313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332800).

4313400 is an abundant number, since it is smaller than the sum of its proper divisors (12352200).

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

4313400 is a wasteful number, since it uses less digits than its factorization.

4313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4313400 is about 2076.8726489605. The cubic root of 4313400 is about 162.7820741833.

Multiplying 4313400 by its sum of digits (15), we get a triangular number (64701000 = T11375).

Adding to 4313400 its reverse (43134), we get a palindrome (4356534).

Multiplying 4313400 by its reverse (43134), we get a square (186054195600 = 4313402).

4313400 divided by its reverse (43134) gives a square (100 = 102).

The spelling of 4313400 in words is "four million, three hundred thirteen thousand, four hundred".