Search a number
-
+
2340432141 = 319315367373
BaseRepresentation
bin1000101110000000…
…0010100100001101
320001002221021022220
42023200002210031
514243122312031
61024123325553
7111666226215
oct21340024415
96032837286
102340432141
11aa1127343
125539808b9
132b3b605b8
14182b95245
15da70b596
hex8b80290d

2340432141 has 64 divisors (see below), whose sum is σ = 3515719680. Its totient is φ = 1378840320.

The previous prime is 2340432043. The next prime is 2340432167. The reversal of 2340432141 is 1412340432.

It is not a de Polignac number, because 2340432141 - 27 = 2340432013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340432841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6274431 + ... + 6274803.

It is an arithmetic number, because the mean of its divisors is an integer number (54933120).

Almost surely, 22340432141 is an apocalyptic number.

It is an amenable number.

2340432141 is a deficient number, since it is larger than the sum of its proper divisors (1175287539).

2340432141 is a wasteful number, since it uses less digits than its factorization.

2340432141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2340432141 is about 48378.0129914406. The cubic root of 2340432141 is about 1327.6961152445.

Adding to 2340432141 its reverse (1412340432), we get a palindrome (3752772573).

The spelling of 2340432141 in words is "two billion, three hundred forty million, four hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 19 31 53 57 67 93 159 201 373 589 1007 1119 1273 1643 1767 2077 3021 3551 3819 4929 6231 7087 10653 11563 19769 21261 24991 31217 34689 39463 59307 67469 74973 93651 110081 118389 202407 219697 330243 375611 474829 612839 659091 774721 1126833 1324523 1424487 1838517 2091539 2324163 3973569 6274617 11643941 14719699 25165937 34931823 41060213 44159097 75497811 123180639 780144047 2340432141