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34325004420 = 22335719736547
BaseRepresentation
bin11111111101111011…
…100000000010000100
310021121011112220002000
4133331323200002010
51030244200120140
623434011545300
72323414503120
oct377573400204
9107534486060
1034325004420
111361462a953
12679b45b230
13331042a805
141938a00580
15d5d69ba30
hex7fdee0084

34325004420 has 384 divisors, whose sum is σ = 130247577600. Its totient is φ = 7329844224.

The previous prime is 34325004409. The next prime is 34325004437. The reversal of 34325004420 is 2440052343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5239587 + ... + 5246133.

It is an arithmetic number, because the mean of its divisors is an integer number (339186400).

Almost surely, 234325004420 is an apocalyptic number.

34325004420 is a gapful number since it is divisible by the number (30) 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 34325004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65123788800).

34325004420 is an abundant number, since it is smaller than the sum of its proper divisors (95922573180).

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

34325004420 is a wasteful number, since it uses less digits than its factorization.

34325004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 34325004420 its reverse (2440052343), we get a palindrome (36765056763).

The spelling of 34325004420 in words is "thirty-four billion, three hundred twenty-five million, four thousand, four hundred twenty".