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4168340352 = 27361131131
BaseRepresentation
bin1111100001110011…
…1101001110000000
3101202111110122000000
43320130331032000
532014043342402
61525342000000
7205203210531
oct37034751600
911674418000
104168340352
111849a12890
12983b76000
135157724a7
142b7854688
15195e28c1c
hexf873d380

4168340352 has 448 divisors, whose sum is σ = 14127505920. Its totient is φ = 1213056000.

The previous prime is 4168340291. The next prime is 4168340359. The reversal of 4168340352 is 2530438614.

4168340352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41683403522 = 34750122580222967808, which contains 22 as substring.

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 (4168340359) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31819327 + ... + 31819457.

Almost surely, 24168340352 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 4168340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063752960).

4168340352 is an abundant number, since it is smaller than the sum of its proper divisors (9959165568).

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

4168340352 is a wasteful number, since it uses less digits than its factorization.

4168340352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4168340352 is about 64562.6854460067. The cubic root of 4168340352 is about 1609.3644022236.

Adding to 4168340352 its reverse (2530438614), we get a palindrome (6698778966).

The spelling of 4168340352 in words is "four billion, one hundred sixty-eight million, three hundred forty thousand, three hundred fifty-two".