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1333442112 = 26323378161
BaseRepresentation
bin100111101111010…
…1011011001000000
310102221002212200220
41033132223121000
510212330121422
6340152143040
745021033222
oct11736533100
93387085626
101333442112
11624769882
12312697a80
13183346902
14c9148412
157c0e8e5c
hex4f7ab640

1333442112 has 112 divisors (see below), whose sum is σ = 3781421952. Its totient is φ = 413614080.

The previous prime is 1333442101. The next prime is 1333442113. The reversal of 1333442112 is 2112443331.

It is a happy number.

1333442112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1333442113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159312 + ... + 167472.

It is an arithmetic number, because the mean of its divisors is an integer number (33762696).

Almost surely, 21333442112 is an apocalyptic number.

1333442112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890710976).

1333442112 is an abundant number, since it is smaller than the sum of its proper divisors (2447979840).

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

1333442112 is a wasteful number, since it uses less digits than its factorization.

1333442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8236 (or 8226 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1333442112 is about 36516.3266498699. The cubic root of 1333442112 is about 1100.6723470879.

Adding to 1333442112 its reverse (2112443331), we get a palindrome (3445885443).

The spelling of 1333442112 in words is "one billion, three hundred thirty-three million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 92 96 111 138 148 184 192 222 276 296 368 444 552 592 736 851 888 1104 1184 1472 1702 1776 2208 2368 2553 3404 3552 4416 5106 6808 7104 8161 10212 13616 16322 20424 24483 27232 32644 40848 48966 54464 65288 81696 97932 130576 163392 187703 195864 261152 301957 375406 391728 522304 563109 603914 750812 783456 905871 1126218 1207828 1501624 1566912 1811742 2252436 2415656 3003248 3623484 4504872 4831312 6006496 6945011 7246968 9009744 9662624 12012992 13890022 14493936 18019488 19325248 20835033 27780044 28987872 36038976 41670066 55560088 57975744 83340132 111120176 166680264 222240352 333360528 444480704 666721056 1333442112