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1388340 = 22345857
BaseRepresentation
bin101010010111100110100
32121112110000
411102330310
5323411330
645431300
714541432
oct5227464
92545400
101388340
11869098
1256b530
13397c05
14281d52
151c6560
hex152f34

1388340 has 60 divisors (see below), whose sum is σ = 4360356. Its totient is φ = 369792.

The previous prime is 1388327. The next prime is 1388353. The reversal of 1388340 is 438831.

It is an interprime number because it is at equal distance from previous prime (1388327) and next prime (1388353).

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 443556 = 972^2 + 666^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1192 + ... + 2048.

21388340 is an apocalyptic number.

1388340 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 1388340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180178).

1388340 is an abundant number, since it is smaller than the sum of its proper divisors (2972016).

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

1388340 is a wasteful number, since it uses less digits than its factorization.

1388340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1388340 is about 1178.2784051318. The cubic root of 1388340 is about 111.5574586381.

It can be divided in two parts, 1388 and 340, that added together give a cube (1728 = 123).

The spelling of 1388340 in words is "one million, three hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 857 1620 1714 2571 3428 4285 5142 7713 8570 10284 12855 15426 17140 23139 25710 30852 38565 46278 51420 69417 77130 92556 115695 138834 154260 231390 277668 347085 462780 694170 1388340