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34132004440 = 2352273375407
BaseRepresentation
bin11111110010011011…
…010000111001011000
310021002201101110212121
4133302123100321120
51024400243120230
623402515151024
72315552152012
oct376233207130
9107081343777
1034132004440
1113525699136
1267468a5474
1332ac454741
14191b1211b2
15d4b77677a
hex7f26d0e58

34132004440 has 32 divisors (see below), whose sum is σ = 76831001280. Its totient is φ = 13646758912.

The previous prime is 34132004407. The next prime is 34132004443. The reversal of 34132004440 is 4440023143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132004443) 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 7 ways as a sum of consecutive naturals, for example, 96784 + ... + 278623.

It is an arithmetic number, because the mean of its divisors is an integer number (2400968790).

Almost surely, 234132004440 is an apocalyptic number.

It is an amenable number.

34132004440 is an abundant number, since it is smaller than the sum of its proper divisors (42698996840).

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

34132004440 is a wasteful number, since it uses less digits than its factorization.

34132004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377691 (or 377687 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34132004440 its reverse (4440023143), we get a palindrome (38572027583).

The spelling of 34132004440 in words is "thirty-four billion, one hundred thirty-two million, four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2273 4546 9092 11365 18184 22730 45460 90920 375407 750814 1501628 1877035 3003256 3754070 7508140 15016280 853300111 1706600222 3413200444 4266500555 6826400888 8533001110 17066002220 34132004440