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378213696 = 26327194937
BaseRepresentation
bin10110100010110…
…001010101000000
3222100200020122200
4112202301111000
51233310314241
6101310233200
712241522560
oct2642612500
9870606580
10378213696
11184545603
12a67b5800
13604840b3
1438332da0
152330d4b6
hex168b1540

378213696 has 168 divisors, whose sum is σ = 1304422080. Its totient is φ = 102352896.

The previous prime is 378213673. The next prime is 378213701. The reversal of 378213696 is 696312873.

378213696 is a `hidden beast` number, since 378 + 213 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 74140 + ... + 79076.

Almost surely, 2378213696 is an apocalyptic number.

378213696 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 378213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652211040).

378213696 is an abundant number, since it is smaller than the sum of its proper divisors (926208384).

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

378213696 is a wasteful number, since it uses less digits than its factorization.

378213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4968 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 378213696 is about 19447.7169868342. The cubic root of 378213696 is about 723.1789069604.

The spelling of 378213696 in words is "three hundred seventy-eight million, two hundred thirteen thousand, six hundred ninety-six".