Search a number
-
+
2340313040 = 245134335197
BaseRepresentation
bin1000101101111110…
…0101011111010000
320001002201012221202
42023133211133100
514243110004130
61024121010332
7111665222042
oct21337453720
96032635852
102340313040
11aa105590a
125539239a8
132b3b1b320
14182b63a92
15da6d6145
hex8b7e57d0

2340313040 has 80 divisors (see below), whose sum is σ = 5874446928. Its totient is φ = 861954048.

The previous prime is 2340313009. The next prime is 2340313067. The reversal of 2340313040 is 403130432.

It can be written as a sum of positive squares in 8 ways, for example, as 556771216 + 1783541824 = 23596^2 + 42232^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447722 + ... + 452918.

Almost surely, 22340313040 is an apocalyptic number.

2340313040 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 2340313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937223464).

2340313040 is an abundant number, since it is smaller than the sum of its proper divisors (3534133888).

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

2340313040 is a wasteful number, since it uses less digits than its factorization.

2340313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5656 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2340313040 is about 48376.7820343602. The cubic root of 2340313040 is about 1327.6735933898.

Adding to 2340313040 its reverse (403130432), we get a palindrome (2743443472).

The spelling of 2340313040 in words is "two billion, three hundred forty million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 433 520 866 1040 1732 2165 3464 4330 5197 5629 6928 8660 10394 11258 17320 20788 22516 25985 28145 34640 41576 45032 51970 56290 67561 83152 90064 103940 112580 135122 207880 225160 270244 337805 415760 450320 540488 675610 1080976 1351220 2250301 2702440 4500602 5404880 9001204 11251505 18002408 22503010 29253913 36004816 45006020 58507826 90012040 117015652 146269565 180024080 234031304 292539130 468062608 585078260 1170156520 2340313040