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378116640 = 253351173109
BaseRepresentation
bin10110100010011…
…001101000100000
3222100111022112000
4112202121220200
51233244213030
6101304204000
712240636606
oct2642315040
9870438460
10378116640
111844896a0
12a6769600
136044bb75
1438309876
15232de860
hex16899a20

378116640 has 384 divisors, whose sum is σ = 1476921600. Its totient is φ = 89579520.

The previous prime is 378116639. The next prime is 378116657. The reversal of 378116640 is 46611873.

378116640 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 1 + 6 + 640 = 666.

378116640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 378116595 and 378116604.

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 63 ways as a sum of consecutive naturals, for example, 3468906 + ... + 3469014.

It is an arithmetic number, because the mean of its divisors is an integer number (3846150).

Almost surely, 2378116640 is an apocalyptic number.

378116640 is a gapful number since it is divisible by the number (30) 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 378116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738460800).

378116640 is an abundant number, since it is smaller than the sum of its proper divisors (1098804960).

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

378116640 is a wasteful number, since it uses less digits than its factorization.

378116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 378116640 is about 19445.2215209804. The cubic root of 378116640 is about 723.1170417085.

The spelling of 378116640 in words is "three hundred seventy-eight million, one hundred sixteen thousand, six hundred forty".