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133433344 = 211115923
BaseRepresentation
bin1111111010000…
…00100000000000
3100022002010010201
413331000200000
5233124331334
621123534544
73210110332
oct775004000
9308063121
10133433344
11693574a0
123882a454
132184b455
1413a15452
15baaac14
hex7f40800

133433344 has 48 divisors (see below), whose sum is σ = 291105360. Its totient is φ = 60641280.

The previous prime is 133433317. The next prime is 133433347. The reversal of 133433344 is 443334331.

It is a happy number.

It is a super-3 number, since 3×1334333443 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (133433347) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19567 + ... + 25489.

It is an arithmetic number, because the mean of its divisors is an integer number (6064695).

Almost surely, 2133433344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145552680).

133433344 is an abundant number, since it is smaller than the sum of its proper divisors (157672016).

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

133433344 is an equidigital number, since it uses as much as digits as its factorization.

133433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5936 counting only the distinct ones).

The product of its digits is 15552, while the sum is 28.

The square root of 133433344 is about 11551.3351609240. The cubic root of 133433344 is about 511.0006548680. Note that the first 3 decimals are identical.

Adding to 133433344 its reverse (443334331), we get a palindrome (576767675).

The spelling of 133433344 in words is "one hundred thirty-three million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 5632 5923 11264 11846 22528 23692 47384 65153 94768 130306 189536 260612 379072 521224 758144 1042448 1516288 2084896 3032576 4169792 6065152 8339584 12130304 16679168 33358336 66716672 133433344