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203242104 = 233213216703
BaseRepresentation
bin11000001110100…
…11101001111000
3112011102202202100
430013103221320
5404012221404
632100103400
75015346402
oct1407235170
9464382670
10203242104
11a47a788a
1258094b60
1333150c00
141cdc7b72
1512c99d39
hexc1d3a78

203242104 has 72 divisors (see below), whose sum is σ = 596082240. Its totient is φ = 62532288.

The previous prime is 203242097. The next prime is 203242129. The reversal of 203242104 is 401242302.

203242104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3817 + ... + 20519.

It is an arithmetic number, because the mean of its divisors is an integer number (8278920).

Almost surely, 2203242104 is an apocalyptic number.

203242104 is a gapful number since it is divisible by the number (24) 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 203242104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298041120).

203242104 is an abundant number, since it is smaller than the sum of its proper divisors (392840136).

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

203242104 is a wasteful number, since it uses less digits than its factorization.

203242104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16741 (or 16721 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 203242104 is about 14256.3005018834. The cubic root of 203242104 is about 587.9466146173.

Adding to 203242104 its reverse (401242302), we get a palindrome (604484406).

The spelling of 203242104 in words is "two hundred three million, two hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 16703 33406 50109 66812 100218 133624 150327 200436 217139 300654 400872 434278 601308 651417 868556 1202616 1302834 1737112 1954251 2605668 2822807 3908502 5211336 5645614 7817004 8468421 11291228 15634008 16936842 22582456 25405263 33873684 50810526 67747368 101621052 203242104