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1384396320 = 253521113669
BaseRepresentation
bin101001010000100…
…0011011000100000
310120110222121201210
41102201003120200
510313401140240
6345212230120
746210113606
oct12241033040
93513877653
101384396320
1165050149a
1232776b340
13190a77428
14d1c0d876
1581811780
hex52843620

1384396320 has 96 divisors (see below), whose sum is σ = 4381836480. Its totient is φ = 367395840.

The previous prime is 1384396313. The next prime is 1384396331. The reversal of 1384396320 is 236934831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 94446 + ... + 108114.

It is an arithmetic number, because the mean of its divisors is an integer number (45644130).

Almost surely, 21384396320 is an apocalyptic number.

1384396320 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 1384396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190918240).

1384396320 is an abundant number, since it is smaller than the sum of its proper divisors (2997440160).

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

1384396320 is a wasteful number, since it uses less digits than its factorization.

1384396320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13898 (or 13890 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 1384396320 is about 37207.4766680032. The cubic root of 1384396320 is about 1114.5172945933.

The spelling of 1384396320 in words is "one billion, three hundred eighty-four million, three hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 211 240 422 480 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 13669 16880 20256 25320 27338 33760 41007 50640 54676 68345 82014 101280 109352 136690 164028 205035 218704 273380 328056 410070 437408 546760 656112 820140 1093520 1312224 1640280 2187040 2884159 3280560 5768318 6561120 8652477 11536636 14420795 17304954 23073272 28841590 34609908 43262385 46146544 57683180 69219816 86524770 92293088 115366360 138439632 173049540 230732720 276879264 346099080 461465440 692198160 1384396320