Search a number
-
+
1034240 = 2115101
BaseRepresentation
bin11111100100000000000
31221112201012
43330200000
5231043430
634100052
711535164
oct3744000
91845635
101034240
11647049
1241a628
132a299c
141ccca4
15156695
hexfc800

1034240 has 48 divisors (see below), whose sum is σ = 2506140. Its totient is φ = 409600.

The previous prime is 1034239. The next prime is 1034249. The reversal of 1034240 is 424301.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 50176 = 992^2 + 224^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1034249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10190 + ... + 10290.

21034240 is an apocalyptic number.

1034240 is a gapful number since it is divisible by the number (10) 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 1034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253070).

1034240 is an abundant number, since it is smaller than the sum of its proper divisors (1471900).

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

1034240 is an equidigital number, since it uses as much as digits as its factorization.

1034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1034240 is about 1016.9759092525. The cubic root of 1034240 is about 101.1285491891.

Adding to 1034240 its reverse (424301), we get a palindrome (1458541).

It can be divided in two parts, 1034 and 240, that multiplied together give a triangular number (248160 = T704).

The spelling of 1034240 in words is "one million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 640 808 1010 1024 1280 1616 2020 2048 2560 3232 4040 5120 6464 8080 10240 12928 16160 25856 32320 51712 64640 103424 129280 206848 258560 517120 1034240