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34431323432 = 23112221316073
BaseRepresentation
bin100000000100010001…
…000100110100101000
310021212120121110100012
4200010101010310220
51031003404322212
623452330431052
72326145264102
oct400421046450
9107776543305
1034431323432
1113669647a00
12680ab92488
13332947457c
141948b98572
15d67b9d922
hex804444d28

34431323432 has 48 divisors (see below), whose sum is σ = 70997732820. Its totient is φ = 15642556160.

The previous prime is 34431323431. The next prime is 34431323477. The reversal of 34431323432 is 23432313443.

It can be written as a sum of positive squares in 2 ways, for example, as 33366867556 + 1064455876 = 182666^2 + 32626^2 .

It is not an unprimeable number, because it can be changed into a prime (34431323431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2134148 + ... + 2150220.

Almost surely, 234431323432 is an apocalyptic number.

It is an amenable number.

34431323432 is an abundant number, since it is smaller than the sum of its proper divisors (36566409388).

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

34431323432 is a wasteful number, since it uses less digits than its factorization.

34431323432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18314 (or 18299 counting only the distinct ones).

The product of its digits is 62208, while the sum is 32.

Adding to 34431323432 its reverse (23432313443), we get a palindrome (57863636875).

The spelling of 34431323432 in words is "thirty-four billion, four hundred thirty-one million, three hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 2213 4426 8852 16073 17704 24343 32146 48686 64292 97372 128584 176803 194744 267773 353606 535546 707212 1071092 1414424 1944833 2142184 3889666 7779332 15558664 35569549 71139098 142278196 284556392 391265039 782530078 1565060156 3130120312 4303915429 8607830858 17215661716 34431323432