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123271434 = 232111383577
BaseRepresentation
bin1110101100011…
…11100100001010
322120221211121200
413112033210022
5223024141214
620122045030
73024534636
oct726174412
9276854550
10123271434
1163646720
1235349776
131c700ca0
141252bdc6
15ac4ed09
hex758f90a

123271434 has 96 divisors (see below), whose sum is σ = 318112704. Its totient is φ = 34007040.

The previous prime is 123271433. The next prime is 123271439. The reversal of 123271434 is 434172321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123271398 and 123271407.

It is not an unprimeable number, because it can be changed into a prime (123271433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213354 + ... + 213930.

It is an arithmetic number, because the mean of its divisors is an integer number (3313674).

Almost surely, 2123271434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123271434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159056352).

123271434 is an abundant number, since it is smaller than the sum of its proper divisors (194841270).

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

123271434 is a wasteful number, since it uses less digits than its factorization.

123271434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 689 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 123271434 is about 11102.7669524313. The cubic root of 123271434 is about 497.6845391676.

The spelling of 123271434 in words is "one hundred twenty-three million, two hundred seventy-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 83 99 117 143 166 198 234 249 286 429 498 577 747 858 913 1079 1154 1287 1494 1731 1826 2158 2574 2739 3237 3462 5193 5478 6347 6474 7501 8217 9711 10386 11869 12694 15002 16434 19041 19422 22503 23738 35607 38082 45006 47891 57123 67509 71214 82511 95782 106821 114246 135018 143673 165022 213642 247533 287346 431019 495066 526801 622583 742599 862038 1053602 1245166 1485198 1580403 1867749 3160806 3735498 4741209 5603247 6848413 9482418 11206494 13696826 20545239 41090478 61635717 123271434