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1384060320 = 253251950587
BaseRepresentation
bin101001001111111…
…0001010110100000
310120110100112211100
41102133301112200
510313304412240
6345201114400
746204214166
oct12237612640
93513315740
101384060320
116502a2005
12327628a00
1319098a506
14d1b63236
1581796e30
hex527f15a0

1384060320 has 144 divisors (see below), whose sum is σ = 4971788640. Its totient is φ = 349650432.

The previous prime is 1384060319. The next prime is 1384060343. The reversal of 1384060320 is 230604831.

It is a happy number.

1384060320 is a `hidden beast` number, since 1 + 38 + 4 + 0 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2067 + ... + 52653.

It is an arithmetic number, because the mean of its divisors is an integer number (34526310).

Almost surely, 21384060320 is an apocalyptic number.

1384060320 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 1384060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485894320).

1384060320 is an abundant number, since it is smaller than the sum of its proper divisors (3587728320).

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

1384060320 is a wasteful number, since it uses less digits than its factorization.

1384060320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50627 (or 50616 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1384060320 is about 37202.9611724658. The cubic root of 1384060320 is about 1114.4271209666.

The spelling of 1384060320 in words is "one billion, three hundred eighty-four million, sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 50587 101174 151761 202348 252935 303522 404696 455283 505870 607044 758805 809392 910566 961153 1011740 1214088 1517610 1618784 1821132 1922306 2023480 2276415 2428176 2883459 3035220 3642264 3844612 4046960 4552830 4805765 4856352 5766918 6070440 7284528 7689224 8093920 8650377 9105660 9611530 11533836 12140880 14417295 14569056 15378448 17300754 18211320 19223060 23067672 24281760 28834590 30756896 34601508 36422640 38446120 43251885 46135344 57669180 69203016 72845280 76892240 86503770 92270688 115338360 138406032 153784480 173007540 230676720 276812064 346015080 461353440 692030160 1384060320