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2432112342 = 23113378231
BaseRepresentation
bin1001000011110111…
…0001011011010110
320021111110002220220
42100331301123112
514440110043332
61041200335210
7114161420352
oct22075613326
96244402826
102432112342
111038956000
1257a614506
132c9b5023a
1419101c462
15e37bad2c
hex90f716d6

2432112342 has 64 divisors (see below), whose sum is σ = 5495551488. Its totient is φ = 716997600.

The previous prime is 2432112257. The next prime is 2432112359.

It is a happy number.

2432112342 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291367 + ... + 299597.

It is an arithmetic number, because the mean of its divisors is an integer number (85867992).

Almost surely, 22432112342 is an apocalyptic number.

2432112342 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 2432112342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747775744).

2432112342 is an abundant number, since it is smaller than the sum of its proper divisors (3063439146).

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

2432112342 is a wasteful number, since it uses less digits than its factorization.

2432112342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8284 counting only the distinct ones).

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

The square root of 2432112342 is about 49316.4510280292. The cubic root of 2432112342 is about 1344.8108691464.

It can be divided in two parts, 24321 and 12342, that added together give a palindrome (36663).

The spelling of 2432112342 in words is "two billion, four hundred thirty-two million, one hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 1331 2442 2662 3993 4477 7986 8231 8954 13431 16462 24693 26862 49247 49386 90541 98494 147741 181082 271623 295482 304547 543246 609094 913641 995951 1827282 1991902 2987853 3350017 5975706 6700034 10050051 10955461 20100102 21910922 32866383 36850187 65732766 73700374 110550561 221101122 405352057 810704114 1216056171 2432112342