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394320 = 24353153
BaseRepresentation
bin1100000010001010000
3202000220110
41200101100
5100104240
612241320
73231423
oct1402120
9660813
10394320
1124a293
12170240
1310a634
14a39ba
157bc80
hex60450

394320 has 80 divisors (see below), whose sum is σ = 1285632. Its totient is φ = 99840.

The previous prime is 394319. The next prime is 394327. The reversal of 394320 is 23493.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7414 + ... + 7466.

2394320 is an apocalyptic number.

394320 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 394320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816).

394320 is an abundant number, since it is smaller than the sum of its proper divisors (891312).

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

394320 is a wasteful number, since it uses less digits than its factorization.

394320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 394320 is about 627.9490425186. The cubic root of 394320 is about 73.3302110700.

The spelling of 394320 in words is "three hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 53 60 62 80 93 106 120 124 155 159 186 212 240 248 265 310 318 372 424 465 496 530 620 636 744 795 848 930 1060 1240 1272 1488 1590 1643 1860 2120 2480 2544 3180 3286 3720 4240 4929 6360 6572 7440 8215 9858 12720 13144 16430 19716 24645 26288 32860 39432 49290 65720 78864 98580 131440 197160 394320