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2434102032 = 243436119333
BaseRepresentation
bin1001000100010101…
…0111001100010000
320021122012012021010
42101011113030100
514441112231112
61041311130520
7114214345245
oct22105271420
96248165233
102434102032
111039a9497a
1257b213a40
132ca398a7b
141913b95cc
15e3a6063c
hex91157310

2434102032 has 80 divisors (see below), whose sum is σ = 6540150848. Its totient is φ = 779466240.

The previous prime is 2434102003. The next prime is 2434102039. The reversal of 2434102032 is 2302014342.

It is not an unprimeable number, because it can be changed into a prime (2434102039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116238 + ... + 135570.

Almost surely, 22434102032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270075424).

2434102032 is an abundant number, since it is smaller than the sum of its proper divisors (4106048816).

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

2434102032 is a wasteful number, since it uses less digits than its factorization.

2434102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19448 (or 19442 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2434102032 is about 49336.6195842399. The cubic root of 2434102032 is about 1345.1774952205.

Adding to 2434102032 its reverse (2302014342), we get a palindrome (4736116374).

The spelling of 2434102032 in words is "two billion, four hundred thirty-four million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 61 86 122 129 172 183 244 258 344 366 488 516 688 732 976 1032 1464 2064 2623 2928 5246 7869 10492 15738 19333 20984 31476 38666 41968 57999 62952 77332 115998 125904 154664 231996 309328 463992 831319 927984 1179313 1662638 2358626 2493957 3325276 3537939 4717252 4987914 6650552 7075878 9434504 9975828 13301104 14151756 18869008 19951656 28303512 39903312 50710459 56607024 101420918 152131377 202841836 304262754 405683672 608525508 811367344 1217051016 2434102032