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385060608 = 28331729113
BaseRepresentation
bin10110111100111…
…000111100000000
3222211120002212000
4112330320330000
51242033414413
6102113104000
712353650452
oct2674707400
9884502760
10385060608
111883a1809
12a8b58000
1361a1071a
14391d62d2
1523c12073
hex16f38f00

385060608 has 288 divisors, whose sum is σ = 1258286400. Its totient is φ = 115605504.

The previous prime is 385060573. The next prime is 385060633. The reversal of 385060608 is 806060583.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3407560 + ... + 3407672.

It is an arithmetic number, because the mean of its divisors is an integer number (4369050).

Almost surely, 2385060608 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 385060608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629143200).

385060608 is an abundant number, since it is smaller than the sum of its proper divisors (873225792).

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

385060608 is a wasteful number, since it uses less digits than its factorization.

385060608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

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

The square root of 385060608 is about 19622.9612444198. The cubic root of 385060608 is about 727.5168069239.

The spelling of 385060608 in words is "three hundred eighty-five million, sixty thousand, six hundred eight".