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203140404 = 223241229601
BaseRepresentation
bin11000001101110…
…10110100110100
3112011020121020200
430012322310310
5404000443104
632054000500
75014444035
oct1406726464
9464217220
10203140404
11a4738435
1258046130
133311682c
141cd9ca8c
1512c79b39
hexc1bad34

203140404 has 72 divisors (see below), whose sum is σ = 529194120. Its totient is φ = 65664000.

The previous prime is 203140403. The next prime is 203140417. The reversal of 203140404 is 404041302.

203140404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56972304 + 146168100 = 7548^2 + 12090^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203140403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337704 + ... + 338304.

Almost surely, 2203140404 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 203140404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264597060).

203140404 is an abundant number, since it is smaller than the sum of its proper divisors (326053716).

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

203140404 is a wasteful number, since it uses less digits than its factorization.

203140404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 876 counting only the distinct ones).

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

The square root of 203140404 is about 14252.7332115633. The cubic root of 203140404 is about 587.8485310252.

Adding to 203140404 its reverse (404041302), we get a palindrome (607181706).

The spelling of 203140404 in words is "two hundred three million, one hundred forty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 229 246 369 458 492 601 687 738 916 1202 1374 1476 1803 2061 2404 2748 3606 4122 5409 7212 8244 9389 10818 18778 21636 24641 28167 37556 49282 56334 73923 84501 98564 112668 137629 147846 169002 221769 275258 295692 338004 412887 443538 550516 825774 887076 1238661 1651548 2477322 4954644 5642789 11285578 16928367 22571156 33856734 50785101 67713468 101570202 203140404