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3425030400 = 283521116217
BaseRepresentation
bin1100110000100101…
…1101000100000000
322211200210120102210
43030021131010000
524003301433100
61323510142120
7150606164241
oct31411350400
98750716383
103425030400
1114a8382040
127b7051940
1342777ab0c
14246c44cc8
15150a4dc50
hexcc25d100

3425030400 has 216 divisors, whose sum is σ = 12331648224. Its totient is φ = 830259200.

The previous prime is 3425030359. The next prime is 3425030429. The reversal of 3425030400 is 40305243.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203092 + ... + 219308.

It is an arithmetic number, because the mean of its divisors is an integer number (57090964).

Almost surely, 23425030400 is an apocalyptic number.

3425030400 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 3425030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165824112).

3425030400 is an abundant number, since it is smaller than the sum of its proper divisors (8906617824).

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

3425030400 is a wasteful number, since it uses less digits than its factorization.

3425030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16257 (or 16238 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3425030400 is about 58523.7592777498. The cubic root of 3425030400 is about 1507.3755854959.

Adding to 3425030400 its reverse (40305243), we get a palindrome (3465335643).

The spelling of 3425030400 in words is "three billion, four hundred twenty-five million, thirty thousand, four hundred".