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1340928 = 293397
BaseRepresentation
bin101000111011000000000
32112010102000
411013120000
5320402203
644424000
714253261
oct5073000
92463360
101340928
11836506
12548000
1337c464
1426c968
151b74a3
hex147600

1340928 has 80 divisors (see below), whose sum is σ = 4010160. Its totient is φ = 442368.

The previous prime is 1340903. The next prime is 1340929. The reversal of 1340928 is 8290431.

It is a super-3 number, since 3×13409283 = 7233319239476576256, which contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340929) 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 7 ways as a sum of consecutive naturals, for example, 13776 + ... + 13872.

It is an arithmetic number, because the mean of its divisors is an integer number (50127).

21340928 is an apocalyptic number.

1340928 is a gapful number since it is divisible by the number (18) 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 1340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005080).

1340928 is an abundant number, since it is smaller than the sum of its proper divisors (2669232).

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

1340928 is an frugal number, since it uses more digits than its factorization.

1340928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1340928 is about 1157.9844558542. The cubic root of 1340928 is about 110.2728214130.

The spelling of 1340928 in words is "one million, three hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 128 144 192 194 216 256 288 291 384 388 432 512 576 582 768 776 864 873 1152 1164 1536 1552 1728 1746 2304 2328 2619 3104 3456 3492 4608 4656 5238 6208 6912 6984 9312 10476 12416 13824 13968 18624 20952 24832 27936 37248 41904 49664 55872 74496 83808 111744 148992 167616 223488 335232 446976 670464 1340928