Search a number
-
+
203264364 = 223293591627
BaseRepresentation
bin11000001110110…
…01000101101100
3112011110220021210
430013121011230
5404013424424
632100354420
75015501322
oct1407310554
9464426253
10203264364
11a4812586
12580a5a10
133315b094
141cdd1d12
1512ca1729
hexc1d916c

203264364 has 48 divisors (see below), whose sum is σ = 492307200. Its totient is φ = 65196096.

The previous prime is 203264357. The next prime is 203264377. The reversal of 203264364 is 463462302.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124119 + ... + 125745.

It is an arithmetic number, because the mean of its divisors is an integer number (10256400).

Almost surely, 2203264364 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 203264364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246153600).

203264364 is an abundant number, since it is smaller than the sum of its proper divisors (289042836).

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

203264364 is a wasteful number, since it uses less digits than its factorization.

203264364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 203264364 is about 14257.0811879571. The cubic root of 203264364 is about 587.9680786965.

The spelling of 203264364 in words is "two hundred three million, two hundred sixty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 359 718 1077 1436 1627 2154 3254 4308 4881 6508 9762 10411 19524 20822 31233 41644 47183 62466 94366 124932 141549 188732 283098 566196 584093 1168186 1752279 2336372 3504558 7009116 16938697 33877394 50816091 67754788 101632182 203264364