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132345330 = 23513439773
BaseRepresentation
bin1111110001101…
…10110111110010
3100020000211122220
413320312313302
5232340022310
621044341510
73164626305
oct770666762
9306024586
10132345330
1168784007
12383a4896
132155a160
1413810b3c
15b943670
hex7e36df2

132345330 has 64 divisors (see below), whose sum is σ = 343284480. Its totient is φ = 32461056.

The previous prime is 132345307. The next prime is 132345331. The reversal of 132345330 is 33543231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132345330.

It is not an unprimeable number, because it can be changed into a prime (132345331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170824 + ... + 171596.

It is an arithmetic number, because the mean of its divisors is an integer number (5363820).

Almost surely, 2132345330 is an apocalyptic number.

132345330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132345330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171642240).

132345330 is an abundant number, since it is smaller than the sum of its proper divisors (210939150).

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

132345330 is a wasteful number, since it uses less digits than its factorization.

132345330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235.

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 132345330 is about 11504.1440359550. The cubic root of 132345330 is about 509.6079647726.

Adding to 132345330 its reverse (33543231), we get a palindrome (165888561).

The spelling of 132345330 in words is "one hundred thirty-two million, three hundred forty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 439 773 878 1317 1546 2195 2319 2634 3865 4390 4638 5707 6585 7730 10049 11414 11595 13170 17121 20098 23190 28535 30147 34242 50245 57070 60294 85605 100490 150735 171210 301470 339347 678694 1018041 1696735 2036082 3393470 4411511 5090205 8823022 10180410 13234533 22057555 26469066 44115110 66172665 132345330