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3250168416 = 253411243241
BaseRepresentation
bin1100000110111001…
…1010001001100000
322101111202122220000
43001232122021200
523124020342131
61254302220000
7143353655445
oct30156321140
98344678800
103250168416
1114186a9700
12768584600
133ca4857a1
1422b9279cc
1514050cce6
hexc1b9a260

3250168416 has 360 divisors, whose sum is σ = 10795570632. Its totient is φ = 958003200.

The previous prime is 3250168403. The next prime is 3250168423. The reversal of 3250168416 is 6148610523.

It is a happy number.

3250168416 is a `hidden beast` number, since 32 + 50 + 168 + 416 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 13486056 + ... + 13486296.

Almost surely, 23250168416 is an apocalyptic number.

3250168416 is a gapful number since it is divisible by the number (36) 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 3250168416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397785316).

3250168416 is an abundant number, since it is smaller than the sum of its proper divisors (7545402216).

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

3250168416 is a wasteful number, since it uses less digits than its factorization.

3250168416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3250168416 is about 57010.2483418552. The cubic root of 3250168416 is about 1481.2736200047.

Adding to 3250168416 its reverse (6148610523), we get a palindrome (9398778939).

The spelling of 3250168416 in words is "three billion, two hundred fifty million, one hundred sixty-eight thousand, four hundred sixteen".