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34324410132 = 22321489640333
BaseRepresentation
bin11111111101111001…
…001110111100010100
310021121010102200212100
4133331321032330110
51030244022111012
623433551122100
72323406446365
oct377571167424
9107533380770
1034324410132
1113614264401
12679b213330
13331028016c
1419388c7b6c
15d5d5d08dc
hex7fde4ef14

34324410132 has 36 divisors (see below), whose sum is σ = 86822887060. Its totient is φ = 11433768192.

The previous prime is 34324410103. The next prime is 34324410149. The reversal of 34324410132 is 23101442343.

It can be written as a sum of positive squares in 2 ways, for example, as 4673636496 + 29650773636 = 68364^2 + 172194^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 34324410096 and 34324410105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266563 + ... + 373770.

Almost surely, 234324410132 is an apocalyptic number.

It is an amenable number.

34324410132 is an abundant number, since it is smaller than the sum of its proper divisors (52498476928).

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

34324410132 is a wasteful number, since it uses less digits than its factorization.

34324410132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641832 (or 641827 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34324410132 its reverse (23101442343), we get a palindrome (57425852475).

The spelling of 34324410132 in words is "thirty-four billion, three hundred twenty-four million, four hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1489 2978 4467 5956 8934 13401 17868 26802 53604 640333 1280666 1920999 2561332 3841998 5762997 7683996 11525994 23051988 953455837 1906911674 2860367511 3813823348 5720735022 8581102533 11441470044 17162205066 34324410132