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1348164 = 22351973
BaseRepresentation
bin101001001001001000100
32112111100000
411021021010
5321120124
644521300
714313336
oct5111104
92474300
101348164
11840994
12550230
1338283c
14271456
151b96c9
hex149244

1348164 has 72 divisors (see below), whose sum is σ = 3771040. Its totient is φ = 419904.

The previous prime is 1348157. The next prime is 1348177. The reversal of 1348164 is 4618431.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18432 + ... + 18504.

21348164 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 1348164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885520).

1348164 is an abundant number, since it is smaller than the sum of its proper divisors (2422876).

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

1348164 is a wasteful number, since it uses less digits than its factorization.

1348164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1348164 is about 1161.1046464466. The cubic root of 1348164 is about 110.4708194004.

The spelling of 1348164 in words is "one million, three hundred forty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 73 76 81 108 114 146 162 171 219 228 243 292 324 342 438 486 513 657 684 876 972 1026 1314 1387 1539 1971 2052 2628 2774 3078 3942 4161 4617 5548 5913 6156 7884 8322 9234 11826 12483 16644 17739 18468 23652 24966 35478 37449 49932 70956 74898 112347 149796 224694 337041 449388 674082 1348164