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234434211232 = 25131494917703
BaseRepresentation
bin1101101001010101011…
…1100010110110100000
3211102010010022212011011
43122111113202312200
512320110124224412
6255410402430304
722636332626254
oct3322527426640
9742103285134
10234434211232
1190472000811
1239527662394
1319151264cb0
14b4bd3cc264
1561714e37a7
hex36955e2da0

234434211232 has 96 divisors (see below), whose sum is σ = 501465686400. Its totient is φ = 107241415680.

The previous prime is 234434211197. The next prime is 234434211287. The reversal of 234434211232 is 232112434432.

234434211232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234434211194 and 234434211203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30430293 + ... + 30437995.

It is an arithmetic number, because the mean of its divisors is an integer number (5223600900).

Almost surely, 2234434211232 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 234434211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250732843200).

234434211232 is an abundant number, since it is smaller than the sum of its proper divisors (267031475168).

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

234434211232 is a wasteful number, since it uses less digits than its factorization.

234434211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8358 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

Adding to 234434211232 its reverse (232112434432), we get a palindrome (466546645664).

The spelling of 234434211232 in words is "two hundred thirty-four billion, four hundred thirty-four million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 208 298 416 491 596 982 1192 1937 1964 2384 3874 3928 4768 6383 7703 7748 7856 12766 15406 15496 15712 25532 30812 30992 51064 61624 61984 73159 100139 102128 123248 146318 200278 204256 246496 292636 400556 585272 801112 951067 1147747 1170544 1602224 1902134 2295494 2341088 3204448 3782173 3804268 4590988 7564346 7608536 9181976 14920711 15128692 15217072 18363952 29841422 30257384 30434144 36727904 49168249 59682844 60514768 98336498 119365688 121029536 196672996 238731376 393345992 477462752 563543777 786691984 1127087554 1573383968 2254175108 4508350216 7326069101 9016700432 14652138202 18033400864 29304276404 58608552808 117217105616 234434211232