Search a number
-
+
378653040 = 2432541101127
BaseRepresentation
bin10110100100011…
…100100101110000
3222101111120022200
4112210130211300
51233413344130
6101323503200
712245332503
oct2644344560
9871446280
10378653040
111848156a7
12a6987b00
13605a906c
143840913a
1523398760
hex1691c970

378653040 has 240 divisors, whose sum is σ = 1325915136. Its totient is φ = 96768000.

The previous prime is 378653039. The next prime is 378653057. The reversal of 378653040 is 40356873.

It is a happy number.

378653040 is a `hidden beast` number, since 3 + 7 + 86 + 530 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 378652986 and 378653004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2981457 + ... + 2981583.

Almost surely, 2378653040 is an apocalyptic number.

378653040 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 378653040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662957568).

378653040 is an abundant number, since it is smaller than the sum of its proper divisors (947262096).

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

378653040 is a wasteful number, since it uses less digits than its factorization.

378653040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 378653040 is about 19459.0092245212. The cubic root of 378653040 is about 723.4588204683.

The spelling of 378653040 in words is "three hundred seventy-eight million, six hundred fifty-three thousand, forty".