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1133242344 = 233213293133
BaseRepresentation
bin100001110001011…
…1110011111101000
32220222101200020200
41003202332133220
54310102223334
6304241152200
740040254353
oct10342763750
92828350220
101133242344
1153175a823
1227762b660
13150a1c700
14aa71329a
1569750799
hex438be7e8

1133242344 has 72 divisors (see below), whose sum is σ = 3323486790. Its totient is φ = 348686208.

The previous prime is 1133242283. The next prime is 1133242373. The reversal of 1133242344 is 4432423311.

It can be written as a sum of positive squares in 3 ways, for example, as 379080900 + 754161444 = 19470^2 + 27462^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11332423442 = 2568476420469228672, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34399 + ... + 58734.

Almost surely, 21133242344 is an apocalyptic number.

It is an amenable number.

1133242344 is an abundant number, since it is smaller than the sum of its proper divisors (2190244446).

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

1133242344 is a wasteful number, since it uses less digits than its factorization.

1133242344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93171 (or 93151 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1133242344 is about 33663.6650411092. The cubic root of 1133242344 is about 1042.5756990043.

Adding to 1133242344 its reverse (4432423311), we get a palindrome (5565665655).

The spelling of 1133242344 in words is "one billion, one hundred thirty-three million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 93133 186266 279399 372532 558798 745064 838197 1117596 1210729 1676394 2235192 2421458 3352788 3632187 4842916 6705576 7264374 9685832 10896561 14528748 15739477 21793122 29057496 31478954 43586244 47218431 62957908 87172488 94436862 125915816 141655293 188873724 283310586 377747448 566621172 1133242344