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394368 = 2731379
BaseRepresentation
bin1100000010010000000
3202000222020
41200102000
5100104433
612241440
73231522
oct1402200
9660866
10394368
1124a327
12170280
1310a670
14a3a12
157bcb3
hex60480

394368 has 64 divisors (see below), whose sum is σ = 1142400. Its totient is φ = 119808.

The previous prime is 394367. The next prime is 394369. The reversal of 394368 is 863493.

It is an interprime number because it is at equal distance from previous prime (394367) and next prime (394369).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3943682 = 311052238848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (394363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4953 + ... + 5031.

It is an arithmetic number, because the mean of its divisors is an integer number (17850).

2394368 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 394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571200).

394368 is an abundant number, since it is smaller than the sum of its proper divisors (748032).

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

394368 is a wasteful number, since it uses less digits than its factorization.

394368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 394368 is about 627.9872610173. The cubic root of 394368 is about 73.3331864093. Note that the first 3 decimals are identical.

The spelling of 394368 in words is "three hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 312 316 384 416 474 624 632 832 948 1027 1248 1264 1664 1896 2054 2496 2528 3081 3792 4108 4992 5056 6162 7584 8216 10112 12324 15168 16432 24648 30336 32864 49296 65728 98592 131456 197184 394368