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378071064 = 233974
BaseRepresentation
bin10110100010001…
…110100000011000
3222100102000000000
4112202032200120
51233241233224
6101303213000
712240360000
oct2642164030
9870360000
10378071064
11184458428
12a6747160
13604341b7
14382d7000
15232d10c9
hex1688e818

378071064 has 200 divisors, whose sum is σ = 1240450860. Its totient is φ = 108020304.

The previous prime is 378071053. The next prime is 378071077. The reversal of 378071064 is 460170873.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 54010149 + ... + 54010155.

Almost surely, 2378071064 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 378071064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620225430).

378071064 is an abundant number, since it is smaller than the sum of its proper divisors (862379796).

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

378071064 is an frugal number, since it uses more digits than its factorization.

378071064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 378071064 is about 19444.0495782129. The cubic root of 378071064 is about 723.0879870880.

The spelling of 378071064 in words is "three hundred seventy-eight million, seventy-one thousand, sixty-four".