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2313700 = 2252171361
BaseRepresentation
bin1000110100110111100100
311100112210121
420310313210
51043014300
6121331324
725444324
oct10646744
94315717
102313700
111340354
12936b44
1363016c
14443284
1530a81a
hex234de4

2313700 has 36 divisors (see below), whose sum is σ = 5319972. Its totient is φ = 870400.

The previous prime is 2313679. The next prime is 2313767. The reversal of 2313700 is 73132.

2313700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 69696 + 2244004 = 264^2 + 1498^2 .

It is an unprimeable number.

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, 1020 + ... + 2380.

It is an arithmetic number, because the mean of its divisors is an integer number (147777).

22313700 is an apocalyptic number.

2313700 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 2313700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659986).

2313700 is an abundant number, since it is smaller than the sum of its proper divisors (3006272).

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

2313700 is a wasteful number, since it uses less digits than its factorization.

2313700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 2313700 is about 1521.0851389715. The cubic root of 2313700 is about 132.2621816889.

Adding to 2313700 its reverse (73132), we get a palindrome (2386832).

It can be divided in two parts, 2313 and 700, that multiplied together give a triangular number (1619100 = T1799).

The spelling of 2313700 in words is "two million, three hundred thirteen thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1361 1700 2722 5444 6805 13610 23137 27220 34025 46274 68050 92548 115685 136100 231370 462740 578425 1156850 2313700