Search a number
-
+
378943488 = 2113371189
BaseRepresentation
bin10110100101100…
…011100000000000
3222102001022202000
4112211203200000
51234002142423
6101334024000
712250652340
oct2645434000
9872038660
10378943488
111849a3940
12a6aa8000
136067b321
1438482d20
1523404843
hex16963800

378943488 has 384 divisors, whose sum is σ = 1415232000. Its totient is φ = 97320960.

The previous prime is 378943471. The next prime is 378943519. The reversal of 378943488 is 884349873.

378943488 is a `hidden beast` number, since 3 + 78 + 94 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3789434882 = 287196334195212288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (4644864) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257748 + ... + 4257836.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2378943488 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 378943488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

378943488 is an abundant number, since it is smaller than the sum of its proper divisors (1036288512).

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

378943488 is a wasteful number, since it uses less digits than its factorization.

378943488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 378943488 is about 19466.4708665952. The cubic root of 378943488 is about 723.6437509471.

The spelling of 378943488 in words is "three hundred seventy-eight million, nine hundred forty-three thousand, four hundred eighty-eight".