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9435340890 = 234534132
BaseRepresentation
bin10001100100110001…
…11110000001011010
3220100120020222110000
420302120332001122
5123310421402030
64200132033430
7452550034323
oct106230760132
926316228400
109435340890
114002005298
1219b3a62876
13b74a16861
1465717944a
153a3521860
hex23263e05a

9435340890 has 60 divisors (see below), whose sum is σ = 25378018974. Its totient is φ = 2515353696.

The previous prime is 9435340877. The next prime is 9435340897. The reversal of 9435340890 is 980435349.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9372756969 + 62583921 = 96813^2 + 7911^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9435340897) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2762824 + ... + 2766236.

Almost surely, 29435340890 is an apocalyptic number.

9435340890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9435340890 is an abundant number, since it is smaller than the sum of its proper divisors (15942678084).

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

9435340890 is an frugal number, since it uses more digits than its factorization.

9435340890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6845 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9435340890 is about 97135.6828873921. The cubic root of 9435340890 is about 2113.0958567512.

The spelling of 9435340890 in words is "nine billion, four hundred thirty-five million, three hundred forty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 3413 6826 10239 17065 20478 30717 34130 51195 61434 92151 102390 153585 184302 276453 307170 460755 552906 921510 1382265 2764530 11648569 23297138 34945707 58242845 69891414 104837121 116485690 174728535 209674242 314511363 349457070 524185605 629022726 943534089 1048371210 1572556815 1887068178 3145113630 4717670445 9435340890