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3253414032 = 24331117223103
BaseRepresentation
bin1100000111101011…
…0010100010010000
322101201212120001000
43001322302202100
523130333222112
61254455542000
7143423364051
oct30172624220
98351776030
103253414032
11141a516130
1276968a900
133cb050b7b
1422c130728
1514094e7dc
hexc1eb2890

3253414032 has 480 divisors, whose sum is σ = 11402127360. Its totient is φ = 878929920.

The previous prime is 3253414019. The next prime is 3253414037. The reversal of 3253414032 is 2304143523.

3253414032 is a `hidden beast` number, since 3 + 253 + 4 + 1 + 403 + 2 = 666.

It is a super-2 number, since 2×32534140322 = 21169405727228994048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3253413987 and 3253414005.

It is not an unprimeable number, because it can be changed into a prime (3253414037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31586493 + ... + 31586595.

It is an arithmetic number, because the mean of its divisors is an integer number (23754432).

Almost surely, 23253414032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3253414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701063680).

3253414032 is an abundant number, since it is smaller than the sum of its proper divisors (8148713328).

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

3253414032 is a wasteful number, since it uses less digits than its factorization.

3253414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3253414032 is about 57038.7064369451. The cubic root of 3253414032 is about 1481.7665222516.

Adding to 3253414032 its reverse (2304143523), we get a palindrome (5557557555).

The spelling of 3253414032 in words is "three billion, two hundred fifty-three million, four hundred fourteen thousand, thirty-two".