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8003394 = 233731683
BaseRepresentation
bin11110100001111101000010
3120001121121000
4132201331002
54022102034
6443312430
7125012340
oct36417502
916047530
108003394
114577083
12281b716
131872b49
1410c4990
15a81599
hex7a1f42

8003394 has 64 divisors (see below), whose sum is σ = 21012480. Its totient is φ = 2209680.

The previous prime is 8003381. The next prime is 8003419. The reversal of 8003394 is 4933008.

8003394 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

8003394 is strictly pandigital in base 8.

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, 11377 + ... + 12059.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 28003394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8003394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506240).

8003394 is an abundant number, since it is smaller than the sum of its proper divisors (13009086).

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

8003394 is a wasteful number, since it uses less digits than its factorization.

8003394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 8003394 is about 2829.0270412281. The cubic root of 8003394 is about 200.0282793345.

The spelling of 8003394 in words is "eight million, three thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 683 837 1302 1366 1674 1953 2049 3906 4098 4781 5859 6147 9562 11718 12294 14343 18441 21173 28686 36882 42346 43029 63519 86058 127038 129087 148211 190557 258174 296422 381114 444633 571671 889266 1143342 1333899 2667798 4001697 8003394