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234524425432 = 2311361361069
BaseRepresentation
bin1101101001101010111…
…1101011110011011000
3211102100102002012202211
43122122233223303120
512320301223103212
6255423344204504
722641506503363
oct3323257536330
9742312065684
10234524425432
1190508a19000
1239551909734
1319166b6058b
14b4cb3930da
1561793b39a7
hex369abebcd8

234524425432 has 64 divisors (see below), whose sum is σ = 491604026400. Its totient is φ = 104854147200.

The previous prime is 234524425423. The next prime is 234524425451.

234524425432 is nontrivially palindromic in base 10.

234524425432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2345244254322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468994 + ... + 830062.

Almost surely, 2234524425432 is an apocalyptic number.

234524425432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234524425432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245802013200).

234524425432 is an abundant number, since it is smaller than the sum of its proper divisors (257079600968).

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

234524425432 is a wasteful number, since it uses less digits than its factorization.

234524425432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361169 (or 361143 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

It can be divided in two parts, 234524 and 425432, that added together give a palindrome (659956).

The spelling of 234524425432 in words is "two hundred thirty-four billion, five hundred twenty-four million, four hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 61 88 121 122 242 244 484 488 671 968 1331 1342 2662 2684 5324 5368 7381 10648 14762 29524 59048 81191 162382 324764 361069 649528 722138 1444276 2888552 3971759 7943518 15887036 22025209 31774072 43689349 44050418 87378698 88100836 174757396 176201672 242277299 349514792 480582839 484554598 961165678 969109196 1922331356 1938218392 2665050289 3844662712 5330100578 10660201156 21320402312 29315553179 58631106358 117262212716 234524425432