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203990384 = 24131971727
BaseRepresentation
bin11000010100010…
…10010101110000
3112012211210012102
430022022111300
5404210143014
632124115532
75024614103
oct1412122560
9465753172
10203990384
11a5168aa4
1258395ba8
1333353690
141d14073a
1512d968de
hexc28a570

203990384 has 80 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 87816960.

The previous prime is 203990377. The next prime is 203990399. The reversal of 203990384 is 483099302.

It is a super-2 number, since 2×2039903842 = 83224153528934912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 15 ways as a sum of consecutive naturals, for example, 280229 + ... + 280955.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2203990384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203990384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

203990384 is an abundant number, since it is smaller than the sum of its proper divisors (250980496).

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

203990384 is a wasteful number, since it uses less digits than its factorization.

203990384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 203990384 is about 14282.5202257865. The cubic root of 203990384 is about 588.6672820111.

The spelling of 203990384 in words is "two hundred three million, nine hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 71 76 104 142 152 208 247 284 304 494 568 727 923 988 1136 1349 1454 1846 1976 2698 2908 3692 3952 5396 5816 7384 9451 10792 11632 13813 14768 17537 18902 21584 27626 35074 37804 51617 55252 70148 75608 103234 110504 140296 151216 179569 206468 221008 280592 359138 412936 671021 718276 825872 980723 1342042 1436552 1961446 2684084 2873104 3922892 5368168 7845784 10736336 12749399 15691568 25498798 50997596 101995192 203990384