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133342352 = 24111324483
BaseRepresentation
bin1111111001010…
…10010010010000
3100021220111022122
413330222102100
5233113423402
621121553412
73206251133
oct774522220
9307814278
10133342352
11692a50a0
12387a5868
1321818c00
14139d021a
15ba8dca2
hex7f2a490

133342352 has 60 divisors (see below), whose sum is σ = 305252784. Its totient is φ = 55935360.

The previous prime is 133342351. The next prime is 133342367. The reversal of 133342352 is 253243331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (133342351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27503 + ... + 31985.

Almost surely, 2133342352 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 133342352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152626392).

133342352 is an abundant number, since it is smaller than the sum of its proper divisors (171910432).

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

133342352 is a wasteful number, since it uses less digits than its factorization.

133342352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4509 counting only the distinct ones).

The product of its digits is 6480, while the sum is 26.

The square root of 133342352 is about 11547.3958969111. The cubic root of 133342352 is about 510.8844731516.

Adding to 133342352 its reverse (253243331), we get a palindrome (386585683).

The spelling of 133342352 in words is "one hundred thirty-three million, three hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 208 286 338 572 676 1144 1352 1859 2288 2704 3718 4483 7436 8966 14872 17932 29744 35864 49313 58279 71728 98626 116558 197252 233116 394504 466232 641069 757627 789008 932464 1282138 1515254 2564276 3030508 5128552 6061016 8333897 10257104 12122032 16667794 33335588 66671176 133342352