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34122000 = 2435311247

34122000 has 240 divisors, whose sum is σ = 123492096. Its totient is φ = 8096000.

The previous prime is 34121993. The next prime is 34122007. The reversal of 34122000 is 22143.

It is an interprime number because it is at equal distance from previous prime (34121993) and next prime (34122007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (34122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725977 + ... + 726023.

Almost surely, 234122000 is an apocalyptic number.

34122000 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 34122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048).

34122000 is an abundant number, since it is smaller than the sum of its proper divisors (89370096).

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

34122000 is a wasteful number, since it uses less digits than its factorization.

34122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 34122000 is about 5841.4039408348. The cubic root of 34122000 is about 324.3482005696.

Adding to 34122000 its reverse (22143), we get a palindrome (34144143).

The spelling of 34122000 in words is "thirty-four million, one hundred twenty-two thousand".