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1332132340 = 2257115571553
BaseRepresentation
bin100111101100110…
…1011100111110100
310102211122100000211
41033121223213310
510212011213330
6340104115204
745003636520
oct11731534764
93384570024
101332132340
11623a54820
12312165b04
13182ca86b6
14c8cc6d80
157be3ad2a
hex4f66b9f4

1332132340 has 96 divisors (see below), whose sum is σ = 3496276224. Its totient is φ = 414197760.

The previous prime is 1332132323. The next prime is 1332132343. The reversal of 1332132340 is 432312331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332132343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857004 + ... + 858556.

It is an arithmetic number, because the mean of its divisors is an integer number (36419544).

Almost surely, 21332132340 is an apocalyptic number.

1332132340 is a gapful number since it is divisible by the number (10) 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 1332132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748138112).

1332132340 is an abundant number, since it is smaller than the sum of its proper divisors (2164143884).

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

1332132340 is a wasteful number, since it uses less digits than its factorization.

1332132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 1332132340 is about 36498.3881835897. The cubic root of 1332132340 is about 1100.3118509756.

Adding to 1332132340 its reverse (432312331), we get a palindrome (1764444671).

Subtracting from 1332132340 its reverse (432312331), we obtain a square (899820009 = 299972).

The spelling of 1332132340 in words is "one billion, three hundred thirty-two million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 557 770 1114 1540 1553 2228 2785 3106 3899 5570 6127 6212 7765 7798 10871 11140 12254 15530 15596 17083 19495 21742 24508 30635 31060 34166 38990 42889 43484 54355 61270 68332 77980 85415 85778 108710 119581 122540 170830 171556 214445 217420 239162 341660 428890 478324 597905 857780 865021 1195810 1730042 2391620 3460084 4325105 6055147 8650210 9515231 12110294 17300420 19030462 24220588 30275735 38060924 47576155 60551470 66606617 95152310 121102940 133213234 190304620 266426468 333033085 666066170 1332132340