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1349664 = 25317827
BaseRepresentation
bin101001001100000100000
32112120101120
411021200200
5321142124
644532240
714320611
oct5114040
92476346
101349664
11842028
12551080
13383424
14271c08
151b9d79
hex149820

1349664 has 48 divisors (see below), whose sum is σ = 3755808. Its totient is φ = 422912.

The previous prime is 1349651. The next prime is 1349669. The reversal of 1349664 is 4669431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349669) 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, 1219 + ... + 2045.

It is an arithmetic number, because the mean of its divisors is an integer number (78246).

21349664 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 1349664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877904).

1349664 is an abundant number, since it is smaller than the sum of its proper divisors (2406144).

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

1349664 is a wasteful number, since it uses less digits than its factorization.

1349664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

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

The square root of 1349664 is about 1161.7504034861. The cubic root of 1349664 is about 110.5117750533.

The spelling of 1349664 in words is "one million, three hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 827 1632 1654 2481 3308 4962 6616 9924 13232 14059 19848 26464 28118 39696 42177 56236 79392 84354 112472 168708 224944 337416 449888 674832 1349664