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1348704 = 25337223
BaseRepresentation
bin101001001010001100000
32112112002000
411021101200
5321124304
644524000
714315040
oct5112140
92475060
101348704
11841335
12550600
13382b66
14271720
151b9939
hex149460

1348704 has 96 divisors (see below), whose sum is σ = 4515840. Its totient is φ = 383616.

The previous prime is 1348673. The next prime is 1348727. The reversal of 1348704 is 4078431.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5937 + ... + 6159.

It is an arithmetic number, because the mean of its divisors is an integer number (47040).

21348704 is an apocalyptic number.

1348704 is a gapful number since it is divisible by the number (14) 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 1348704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257920).

1348704 is an abundant number, since it is smaller than the sum of its proper divisors (3167136).

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

1348704 is a wasteful number, since it uses less digits than its factorization.

1348704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1348704 is about 1161.3371603458. The cubic root of 1348704 is about 110.4855669334.

The spelling of 1348704 in words is "one million, three hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 223 224 252 288 336 378 432 446 504 669 672 756 864 892 1008 1338 1512 1561 1784 2007 2016 2676 3024 3122 3568 4014 4683 5352 6021 6048 6244 7136 8028 9366 10704 12042 12488 14049 16056 18732 21408 24084 24976 28098 32112 37464 42147 48168 49952 56196 64224 74928 84294 96336 112392 149856 168588 192672 224784 337176 449568 674352 1348704