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394080 = 2535821
BaseRepresentation
bin1100000001101100000
3202000120120
41200031200
5100102310
612240240
73230631
oct1401540
9660516
10394080
1124a095
12170080
1310a4ab
14a3888
157bb70
hex60360

394080 has 48 divisors (see below), whose sum is σ = 1242864. Its totient is φ = 104960.

The previous prime is 394073. The next prime is 394099. The reversal of 394080 is 80493.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 394080.

It is a congruent number.

It is an unprimeable number.

394080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (25893).

2394080 is an apocalyptic number.

394080 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 394080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621432).

394080 is an abundant number, since it is smaller than the sum of its proper divisors (848784).

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

394080 is a wasteful number, since it uses less digits than its factorization.

394080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 394080 is about 627.7579151233. The cubic root of 394080 is about 73.3153307508.

The spelling of 394080 in words is "three hundred ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 821 1642 2463 3284 4105 4926 6568 8210 9852 12315 13136 16420 19704 24630 26272 32840 39408 49260 65680 78816 98520 131360 197040 394080