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2424400342 = 2721319472131
BaseRepresentation
bin1001000010000001…
…0110100111010110
320020221221022001021
42100200112213112
514431121302332
61040323151354
7114036030400
oct22040264726
96227838037
102424400342
111034568951
12577b1555a
132c837cc20
1418ddb1b70
15e2c95c97
hex908169d6

2424400342 has 96 divisors (see below), whose sum is σ = 4899847680. Its totient is φ = 888874560.

The previous prime is 2424400333. The next prime is 2424400343. The reversal of 2424400342 is 2430044242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424400343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1136617 + ... + 1138747.

It is an arithmetic number, because the mean of its divisors is an integer number (51040080).

Almost surely, 22424400342 is an apocalyptic number.

2424400342 is an abundant number, since it is smaller than the sum of its proper divisors (2475447338).

2424400342 is a wasteful number, since it uses less digits than its factorization.

2424400342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 2424400342 is about 49238.2000280270. The cubic root of 2424400342 is about 1343.3879410728.

Adding to 2424400342 its reverse (2430044242), we get a palindrome (4854444584).

The spelling of 2424400342 in words is "two billion, four hundred twenty-four million, four hundred thousand, three hundred forty-two".

Divisors: 1 2 7 13 14 19 26 38 47 49 91 94 98 133 182 247 266 329 494 611 637 658 893 931 1222 1274 1729 1786 1862 2131 2303 3458 4262 4277 4606 6251 8554 11609 12103 12502 14917 23218 24206 27703 29834 29939 40489 43757 55406 59878 80978 81263 87514 100157 104419 162526 193921 200314 208838 283423 387842 526357 566846 568841 701099 1052714 1137682 1302041 1357447 1402198 1902983 1983961 2604082 2714894 3684499 3805966 3967922 4907693 7368998 9114287 9815386 13320881 18228574 24738779 25791493 26641762 49477558 51582986 63800009 93246167 127600018 173171453 186492334 346342906 1212200171 2424400342