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203472 = 2434157
BaseRepresentation
bin110001101011010000
3101100010000
4301223100
523002342
64210000
71505133
oct615320
9340100
10203472
11129965
1299900
13717c9
145421a
154044c
hex31ad0

203472 has 50 divisors (see below), whose sum is σ = 592658. Its totient is φ = 67392.

The previous prime is 203461. The next prime is 203531. The reversal of 203472 is 274302.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 46656 = 396^2 + 216^2 .

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

203472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1218 + ... + 1374.

2203472 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 203472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296329).

203472 is an abundant number, since it is smaller than the sum of its proper divisors (389186).

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

203472 is a wasteful number, since it uses less digits than its factorization.

203472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 203472 is about 451.0787071011. The cubic root of 203472 is about 58.8168215096.

Adding to 203472 its reverse (274302), we get a palindrome (477774).

The spelling of 203472 in words is "two hundred three thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 157 162 216 314 324 432 471 628 648 942 1256 1296 1413 1884 2512 2826 3768 4239 5652 7536 8478 11304 12717 16956 22608 25434 33912 50868 67824 101736 203472