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378046116 = 223471931283
BaseRepresentation
bin10110100010001…
…000011010100100
3222100100201210000
4112202020122210
51233234433431
6101302501300
712240224160
oct2642103244
9870321700
10378046116
11184440708
12a6734830
1360425a36
14382cbca0
15232c89e6
hex168886a4

378046116 has 240 divisors, whose sum is σ = 1231605760. Its totient is φ = 98677440.

The previous prime is 378046111. The next prime is 378046127. The reversal of 378046116 is 611640873.

378046116 is a `hidden beast` number, since 37 + 8 + 0 + 4 + 611 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (378046111) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1335711 + ... + 1335993.

Almost surely, 2378046116 is an apocalyptic number.

378046116 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 378046116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615802880).

378046116 is an abundant number, since it is smaller than the sum of its proper divisors (853559644).

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

378046116 is a wasteful number, since it uses less digits than its factorization.

378046116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

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

The square root of 378046116 is about 19443.4080346013. The cubic root of 378046116 is about 723.0720817925.

Adding to 378046116 its reverse (611640873), we get a palindrome (989686989).

The spelling of 378046116 in words is "three hundred seventy-eight million, forty-six thousand, one hundred sixteen".