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1384320 = 27357103
BaseRepresentation
bin101010001111110000000
32121022221010
411101332000
5323244240
645400520
714523630
oct5217600
92538833
101384320
11866073
12569140
13396132
142806c0
151c5280
hex151f80

1384320 has 128 divisors (see below), whose sum is σ = 5091840. Its totient is φ = 313344.

The previous prime is 1384309. The next prime is 1384337. The reversal of 1384320 is 234831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13389 + ... + 13491.

It is an arithmetic number, because the mean of its divisors is an integer number (39780).

21384320 is an apocalyptic number.

1384320 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 1384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545920).

1384320 is an abundant number, since it is smaller than the sum of its proper divisors (3707520).

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

1384320 is a wasteful number, since it uses less digits than its factorization.

1384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1384320 is about 1176.5712898078. The cubic root of 1384320 is about 111.4496813579.

The spelling of 1384320 in words is "one million, three hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 103 105 112 120 128 140 160 168 192 206 210 224 240 280 309 320 336 384 412 420 448 480 515 560 618 640 672 721 824 840 896 960 1030 1120 1236 1344 1442 1545 1648 1680 1920 2060 2163 2240 2472 2688 2884 3090 3296 3360 3605 4120 4326 4480 4944 5768 6180 6592 6720 7210 8240 8652 9888 10815 11536 12360 13184 13440 14420 16480 17304 19776 21630 23072 24720 28840 32960 34608 39552 43260 46144 49440 57680 65920 69216 86520 92288 98880 115360 138432 173040 197760 230720 276864 346080 461440 692160 1384320