Search a number
-
+
394477440 = 273573599
BaseRepresentation
bin10111100000110…
…011111110000000
31000111021112022120
4113200303332000
51301441234230
6103051004240
712530001000
oct2740637600
91014245276
10394477440
11192743815
12b0139680
1363959a06
143a568000
1524972310
hex17833f80

394477440 has 256 divisors, whose sum is σ = 1468800000. Its totient is φ = 90015744.

The previous prime is 394477409. The next prime is 394477483. The reversal of 394477440 is 44774493.

It is a super-2 number, since 2×3944774402 = 311224901337907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 394477392 and 394477401.

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, 658261 + ... + 658859.

It is an arithmetic number, because the mean of its divisors is an integer number (5737500).

Almost surely, 2394477440 is an apocalyptic number.

394477440 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 394477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734400000).

394477440 is an abundant number, since it is smaller than the sum of its proper divisors (1074322560).

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

394477440 is an equidigital number, since it uses as much as digits as its factorization.

394477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 394477440 is about 19861.4561399712. The cubic root of 394477440 is about 733.3996928012.

The spelling of 394477440 in words is "three hundred ninety-four million, four hundred seventy-seven thousand, four hundred forty".