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34132101450 = 2352673396229
BaseRepresentation
bin11111110010011011…
…101000100101001010
310021002201120101221120
4133302123220211022
51024400304221300
623402521220110
72315553034566
oct376233504512
9107081511846
1034132101450
1113525755007
126746931636
1332ac489945
14191b1486a6
15d4b7953a0
hex7f26e894a

34132101450 has 48 divisors (see below), whose sum is σ = 85911034080. Its totient is φ = 8966041920.

The previous prime is 34132101431. The next prime is 34132101463. The reversal of 34132101450 is 5410123143.

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 34132101450.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1688065 + ... + 1708164.

It is an arithmetic number, because the mean of its divisors is an integer number (1789813210).

Almost surely, 234132101450 is an apocalyptic number.

34132101450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34132101450 is an abundant number, since it is smaller than the sum of its proper divisors (51778932630).

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

34132101450 is a wasteful number, since it uses less digits than its factorization.

34132101450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396311 (or 3396306 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 34132101450 its reverse (5410123143), we get a palindrome (39542224593).

The spelling of 34132101450 in words is "thirty-four billion, one hundred thirty-two million, one hundred one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 1005 1675 2010 3350 5025 10050 3396229 6792458 10188687 16981145 20377374 33962290 50943435 84905725 101886870 169811450 227547343 254717175 455094686 509434350 682642029 1137736715 1365284058 2275473430 3413210145 5688683575 6826420290 11377367150 17066050725 34132101450