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1132334412 = 2231119716359
BaseRepresentation
bin100001101111110…
…0000110101001100
32220220200112210120
41003133200311030
54304334200122
6304205504540
740026453336
oct10337406514
92826615716
101132334412
1153119a670
12277272150
13150792381
14aa558456
156962175c
hex437e0d4c

1132334412 has 96 divisors (see below), whose sum is σ = 3077222400. Its totient is φ = 320443200.

The previous prime is 1132334407. The next prime is 1132334417. The reversal of 1132334412 is 2144332311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1132334407) and next prime (1132334417).

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 (1132334417) 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, 174889 + ... + 181247.

It is an arithmetic number, because the mean of its divisors is an integer number (32054400).

Almost surely, 21132334412 is an apocalyptic number.

1132334412 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 1132334412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538611200).

1132334412 is an abundant number, since it is smaller than the sum of its proper divisors (1944887988).

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

1132334412 is a wasteful number, since it uses less digits than its factorization.

1132334412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467 (or 6465 counting only the distinct ones).

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

The square root of 1132334412 is about 33650.1769980486. The cubic root of 1132334412 is about 1042.2971940716.

Adding to 1132334412 its reverse (2144332311), we get a palindrome (3276666723).

The spelling of 1132334412 in words is "one billion, one hundred thirty-two million, three hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 71 76 114 132 142 209 213 228 284 418 426 627 781 836 852 1254 1349 1562 2343 2508 2698 3124 4047 4686 5396 6359 8094 9372 12718 14839 16188 19077 25436 29678 38154 44517 59356 69949 76308 89034 120821 139898 178068 209847 241642 279796 362463 419694 451489 483284 724926 839388 902978 1329031 1354467 1449852 1805956 2658062 2708934 3987093 4966379 5316124 5417868 7974186 8578291 9932758 14899137 15948372 17156582 19865516 25734873 29798274 34313164 51469746 59596548 94361201 102939492 188722402 283083603 377444804 566167206 1132334412