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1126449342 = 2371715149
BaseRepresentation
bin100001100100100…
…0100000010111110
32220111121120000000
41003021010002332
54301332334332
6303435415130
736625442604
oct10311040276
92814546000
101126449342
11528940077
122752b44a6
1314c4b1795
14a9865874
1568d5cb7c
hex432440be

1126449342 has 64 divisors (see below), whose sum is σ = 2683368000. Its totient is φ = 353372544.

The previous prime is 1126449319. The next prime is 1126449347. The reversal of 1126449342 is 2439446211.

1126449342 is a `hidden beast` number, since 1 + 1 + 2 + 644 + 9 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1126449297 and 1126449306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126449347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66784 + ... + 81932.

It is an arithmetic number, because the mean of its divisors is an integer number (41927625).

Almost surely, 21126449342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126449342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341684000).

1126449342 is an abundant number, since it is smaller than the sum of its proper divisors (1556918658).

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

1126449342 is an equidigital number, since it uses as much as digits as its factorization.

1126449342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15189 (or 15171 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1126449342 is about 33562.6182232555. The cubic root of 1126449342 is about 1040.4883499163.

It can be divided in two parts, 11264 and 49342, that added together give a palindrome (60606).

The spelling of 1126449342 in words is "one billion, one hundred twenty-six million, four hundred forty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2187 2754 4131 4374 8262 12393 15149 24786 30298 37179 45447 74358 90894 136341 257533 272682 409023 515066 772599 818046 1227069 1545198 2317797 2454138 3681207 4635594 6953391 7362414 11043621 13906782 20860173 22087242 33130863 41720346 62580519 66261726 125161038 187741557 375483114 563224671 1126449342