Search a number
-
+
394655040 = 263251383127
BaseRepresentation
bin10111100001011…
…111010101000000
31000111121112221100
4113201133111000
51302012430130
6103054454400
712531340533
oct2741372500
91014545840
10394655040
1119285519a
12b0204400
13639bc7c0
143a5b2a1a
15249a9c60
hex1785f540

394655040 has 336 divisors, whose sum is σ = 1491130368. Its totient is φ = 95219712.

The previous prime is 394655029. The next prime is 394655047. The reversal of 394655040 is 40556493.

It is a happy number.

394655040 is a `hidden beast` number, since 3 + 94 + 65 + 504 + 0 = 666.

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 = 394654986 and 394655004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394655047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3107457 + ... + 3107583.

It is an arithmetic number, because the mean of its divisors is an integer number (4437888).

Almost surely, 2394655040 is an apocalyptic number.

394655040 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 394655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745565184).

394655040 is an abundant number, since it is smaller than the sum of its proper divisors (1096475328).

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

394655040 is a wasteful number, since it uses less digits than its factorization.

394655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 394655040 is about 19865.9266081399. The cubic root of 394655040 is about 733.5097390125.

The spelling of 394655040 in words is "three hundred ninety-four million, six hundred fifty-five thousand, forty".