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203424768 = 2103222073
BaseRepresentation
bin11000010000000…
…00010000000000
3112011210001022200
430020000100000
5404034043033
632104033200
75020040061
oct1410002000
9464701280
10203424768
11a4912048
1258162800
13331b60b1
141d034568
1512cd4013
hexc200400

203424768 has 66 divisors (see below), whose sum is σ = 587411214. Its totient is φ = 67805184.

The previous prime is 203424757. The next prime is 203424799. The reversal of 203424768 is 867424302.

It can be written as a sum of positive squares in only one way, i.e., 201867264 + 1557504 = 14208^2 + 1248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1821 + ... + 20252.

Almost surely, 2203424768 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 203424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293705607).

203424768 is an abundant number, since it is smaller than the sum of its proper divisors (383986446).

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

203424768 is a wasteful number, since it uses less digits than its factorization.

203424768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22099 (or 22078 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 203424768 is about 14262.7054936993. The cubic root of 203424768 is about 588.1227010352.

The spelling of 203424768 in words is "two hundred three million, four hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 22073 44146 66219 88292 132438 176584 198657 264876 353168 397314 529752 706336 794628 1059504 1412672 1589256 2119008 2825344 3178512 4238016 5650688 6357024 8476032 11301376 12714048 16952064 22602752 25428096 33904128 50856192 67808256 101712384 203424768