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3445325280 = 253452989103
BaseRepresentation
bin1100110101011011…
…0111110111100000
322220002222122210000
43031112313313200
524024000402110
61325513140000
7151243532055
oct31526676740
98802878700
103445325280
111508883971
128019ba600
1342ba35517
1424980902c
1515270c1c0
hexcd5b7de0

3445325280 has 480 divisors, whose sum is σ = 12843230400. Its totient is φ = 868589568.

The previous prime is 3445325203. The next prime is 3445325287. The reversal of 3445325280 is 825235443.

3445325280 is a `hidden beast` number, since 3 + 44 + 532 + 5 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445325287) 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 79 ways as a sum of consecutive naturals, for example, 33449709 + ... + 33449811.

It is an arithmetic number, because the mean of its divisors is an integer number (26756730).

Almost surely, 23445325280 is an apocalyptic number.

3445325280 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 3445325280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421615200).

3445325280 is an abundant number, since it is smaller than the sum of its proper divisors (9397905120).

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

3445325280 is a wasteful number, since it uses less digits than its factorization.

3445325280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3445325280 is about 58696.8932738352. The cubic root of 3445325280 is about 1510.3470219780.

The spelling of 3445325280 in words is "three billion, four hundred forty-five million, three hundred twenty-five thousand, two hundred eighty".