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1349088 = 253132347
BaseRepresentation
bin101001001010111100000
32112112121020
411021113200
5321132323
644525440
714316126
oct5112740
92475536
101349088
11841654
12550880
133830a0
14271916
151b9ae3
hex1495e0

1349088 has 96 divisors (see below), whose sum is σ = 4064256. Its totient is φ = 388608.

The previous prime is 1349087. The next prime is 1349119. The reversal of 1349088 is 8809431.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28681 + ... + 28727.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

21349088 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 1349088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128).

1349088 is an abundant number, since it is smaller than the sum of its proper divisors (2715168).

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

1349088 is a wasteful number, since it uses less digits than its factorization.

1349088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1349088 is about 1161.5024752449. The cubic root of 1349088 is about 110.4960516733.

The spelling of 1349088 in words is "one million, three hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 47 48 52 69 78 92 94 96 104 138 141 156 184 188 208 276 282 299 312 368 376 416 552 564 598 611 624 736 752 897 1081 1104 1128 1196 1222 1248 1504 1794 1833 2162 2208 2256 2392 2444 3243 3588 3666 4324 4512 4784 4888 6486 7176 7332 8648 9568 9776 12972 14053 14352 14664 17296 19552 25944 28106 28704 29328 34592 42159 51888 56212 58656 84318 103776 112424 168636 224848 337272 449696 674544 1349088