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394420 = 225133741
BaseRepresentation
bin1100000010010110100
3202001001011
41200102310
5100110140
612242004
73231625
oct1402264
9661034
10394420
1124a374
12170304
1310a6b0
14a3a4c
157bcea
hex604b4

394420 has 48 divisors (see below), whose sum is σ = 938448. Its totient is φ = 138240.

The previous prime is 394411. The next prime is 394453. The reversal of 394420 is 24493.

It can be written as a sum of positive squares in 8 ways, for example, as 39204 + 355216 = 198^2 + 596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 394391 and 394400.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 73.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9600 + ... + 9640.

It is an arithmetic number, because the mean of its divisors is an integer number (19551).

2394420 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 394420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469224).

394420 is an abundant number, since it is smaller than the sum of its proper divisors (544028).

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

394420 is a wasteful number, since it uses less digits than its factorization.

394420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 394420 is about 628.0286617663. The cubic root of 394420 is about 73.3364094210.

The spelling of 394420 in words is "three hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 41 52 65 74 82 130 148 164 185 205 260 370 410 481 533 740 820 962 1066 1517 1924 2132 2405 2665 3034 4810 5330 6068 7585 9620 10660 15170 19721 30340 39442 78884 98605 197210 394420