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2313248 = 25723449
BaseRepresentation
bin1000110100110000100000
311100112011212
420310300200
51043010443
6121325252
725443110
oct10646040
94315155
102313248
11133aa83
12936828
1362cbb2
14443040
1530a618
hex234c20

2313248 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 946176.

The previous prime is 2313247. The next prime is 2313253. The reversal of 2313248 is 8423132.

It is a super-2 number, since 2×23132482 = 10702232619008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313247) 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 7 ways as a sum of consecutive naturals, for example, 4928 + ... + 5376.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22313248 is an apocalyptic number.

2313248 is a gapful number since it is divisible by the number (28) 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 2313248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2313248 is an abundant number, since it is smaller than the sum of its proper divisors (3129952).

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

2313248 is a wasteful number, since it uses less digits than its factorization.

2313248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 2313248 is about 1520.9365535748. The cubic root of 2313248 is about 132.2535682991.

2313248 divided by its sum of digits (23) gives a triangular number (100576 = T448).

It can be divided in two parts, 23 and 13248, that multiplied together give a square (304704 = 5522).

The spelling of 2313248 in words is "two million, three hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 449 644 736 898 1288 1796 2576 3143 3592 5152 6286 7184 10327 12572 14368 20654 25144 41308 50288 72289 82616 100576 144578 165232 289156 330464 578312 1156624 2313248