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132001344 = 26321012269
BaseRepresentation
bin1111101111000…
…10111001000000
3100012101100210200
413313202321000
5232243020334
621033125200
73161664366
oct767427100
9305340720
10132001344
1168569622
1238259800
1321469707
1413761636
15b8c6799
hex7de2e40

132001344 has 84 divisors (see below), whose sum is σ = 382272540. Its totient is φ = 43545600.

The previous prime is 132001327. The next prime is 132001351. The reversal of 132001344 is 443100231.

132001344 is a `hidden beast` number, since 1 + 320 + 0 + 1 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66585600 + 65415744 = 8160^2 + 8088^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57042 + ... + 59310.

Almost surely, 2132001344 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 132001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191136270).

132001344 is an abundant number, since it is smaller than the sum of its proper divisors (250271196).

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

132001344 is a wasteful number, since it uses less digits than its factorization.

132001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132001344 is about 11489.1837830196. The cubic root of 132001344 is about 509.1660650330.

Adding to 132001344 its reverse (443100231), we get a palindrome (575101575).

The spelling of 132001344 in words is "one hundred thirty-two million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 144 192 202 288 303 404 576 606 808 909 1212 1616 1818 2269 2424 3232 3636 4538 4848 6464 6807 7272 9076 9696 13614 14544 18152 19392 20421 27228 29088 36304 40842 54456 58176 72608 81684 108912 145216 163368 217824 229169 326736 435648 458338 653472 687507 916676 1306944 1375014 1833352 2062521 2750028 3666704 4125042 5500056 7333408 8250084 11000112 14666816 16500168 22000224 33000336 44000448 66000672 132001344