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2314240 = 2125113
BaseRepresentation
bin1000110101000000000000
311100120112121
420311000000
51043023430
6121334024
725446025
oct10650000
94316477
102314240
1113407a5
12937314
13630496
1444354c
1530aa7a
hex235000

2314240 has 52 divisors (see below), whose sum is σ = 5602644. Its totient is φ = 917504.

The previous prime is 2314231. The next prime is 2314241. The reversal of 2314240 is 424132.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 1982464 = 576^2 + 1408^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20424 + ... + 20536.

22314240 is an apocalyptic number.

2314240 is a gapful number since it is divisible by the number (20) 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 2314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801322).

2314240 is an abundant number, since it is smaller than the sum of its proper divisors (3288404).

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

2314240 is an equidigital number, since it uses as much as digits as its factorization.

2314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2314240 is about 1521.2626334726. The cubic root of 2314240 is about 132.2724705512.

Adding to 2314240 its reverse (424132), we get a palindrome (2738372).

The spelling of 2314240 in words is "two million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 512 565 640 904 1024 1130 1280 1808 2048 2260 2560 3616 4096 4520 5120 7232 9040 10240 14464 18080 20480 28928 36160 57856 72320 115712 144640 231424 289280 462848 578560 1157120 2314240