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1348480 = 2757243
BaseRepresentation
bin101001001001110000000
32112111202201
411021032000
5321122410
644522544
714314300
oct5111600
92474681
101348480
11841151
12550454
13382a23
14271600
151b983a
hex149380

1348480 has 96 divisors (see below), whose sum is σ = 3837240. Its totient is φ = 451584.

The previous prime is 1348441. The next prime is 1348483. The reversal of 1348480 is 848431.

1348480 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348483) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31339 + ... + 31381.

21348480 is an apocalyptic number.

1348480 is a gapful number since it is divisible by the number (10) 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 1348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918620).

1348480 is an abundant number, since it is smaller than the sum of its proper divisors (2488760).

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

1348480 is an equidigital number, since it uses as much as digits as its factorization.

1348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1348480 is about 1161.2407157864. The cubic root of 1348480 is about 110.4794499161.

The spelling of 1348480 in words is "one million, three hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 49 56 64 70 80 86 98 112 128 140 160 172 196 215 224 245 280 301 320 344 392 430 448 490 560 602 640 688 784 860 896 980 1120 1204 1376 1505 1568 1720 1960 2107 2240 2408 2752 3010 3136 3440 3920 4214 4480 4816 5504 6020 6272 6880 7840 8428 9632 10535 12040 13760 15680 16856 19264 21070 24080 27520 31360 33712 38528 42140 48160 67424 84280 96320 134848 168560 192640 269696 337120 674240 1348480