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2432442342 = 23113141107271
BaseRepresentation
bin1001000011111100…
…0001111111100110
320021112001212121010
42100333001333212
514440201123332
61041211403050
7114164263431
oct22077017746
96245055533
102432442342
111039060a30
1257a753486
132c9c374c5
141910a6818
15e38339cc
hex90fc1fe6

2432442342 has 128 divisors (see below), whose sum is σ = 5685313536. Its totient is φ = 686880000.

The previous prime is 2432442329. The next prime is 2432442359.

2432442342 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8975667 + ... + 8975937.

It is an arithmetic number, because the mean of its divisors is an integer number (44416512).

Almost surely, 22432442342 is an apocalyptic number.

2432442342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2432442342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842656768).

2432442342 is an abundant number, since it is smaller than the sum of its proper divisors (3252871194).

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

2432442342 is a wasteful number, since it uses less digits than its factorization.

2432442342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466.

The product of its digits is 36864, while the sum is 30.

The square root of 2432442342 is about 49319.7966540820. The cubic root of 2432442342 is about 1344.8716897356.

It can be divided in two parts, 24324 and 42342, that added together give a palindrome (66666).

The spelling of 2432442342 in words is "two billion, four hundred thirty-two million, four hundred forty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 41 62 66 82 93 107 123 186 214 246 271 321 341 451 542 642 682 813 902 1023 1177 1271 1353 1626 2046 2354 2542 2706 2981 3317 3531 3813 4387 5962 6634 7062 7626 8401 8774 8943 9951 11111 13161 13981 16802 17886 19902 22222 25203 26322 27962 28997 33333 36487 41943 48257 50406 57994 66666 72974 83886 86991 92411 96514 109461 122221 135997 144771 173982 184822 218922 244442 271994 277233 289542 318967 344441 366663 407991 554466 637934 688882 733326 815982 898907 956901 1033323 1188877 1495967 1797814 1913802 2066646 2377754 2696721 2991934 3566631 3788851 4487901 5393442 7133262 7577702 8975802 9887977 11366553 13077647 19775954 22733106 26155294 29663931 36855187 39232941 59327862 73710374 78465882 110565561 221131122 405407057 810814114 1216221171 2432442342