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3423120440 = 23531289051
BaseRepresentation
bin1100110000001000…
…1010110000111000
322211120012112110112
43030002022300320
524002304323230
61323401203452
7150554020655
oct31402126070
98746175415
103423120440
1114a7298063
127b6490588
1342725c66c
142468a8c2c
151507c2d95
hexcc08ac38

3423120440 has 48 divisors (see below), whose sum is σ = 7958577240. Its totient is φ = 1325064000.

The previous prime is 3423120439. The next prime is 3423120443. The reversal of 3423120440 is 440213243.

It is a super-3 number, since 3×34231204403 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423120443) 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, 6086 + ... + 82965.

Almost surely, 23423120440 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 3423120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979288620).

3423120440 is an abundant number, since it is smaller than the sum of its proper divisors (4535456800).

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

3423120440 is a wasteful number, since it uses less digits than its factorization.

3423120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89124 (or 89089 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3423120440 is about 58507.4391851156. The cubic root of 3423120440 is about 1507.0953386013.

Adding to 3423120440 its reverse (440213243), we get a palindrome (3863333683).

The spelling of 3423120440 in words is "three billion, four hundred twenty-three million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 961 1240 1922 3844 4805 7688 9610 19220 38440 89051 178102 356204 445255 712408 890510 1781020 2760581 3562040 5521162 11042324 13802905 22084648 27605810 55211620 85578011 110423240 171156022 342312044 427890055 684624088 855780110 1711560220 3423120440