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204312032 = 2553179673
BaseRepresentation
bin11000010110110…
…00110111100000
3112020110010102022
430023120313200
5404300441112
632135041012
75030423621
oct1413306740
9466403368
10204312032
11a5368721
1258510168
1333436bc2
141d1c5a48
1512e0bd72
hexc2d8de0

204312032 has 48 divisors (see below), whose sum is σ = 412730640. Its totient is φ = 99520512.

The previous prime is 204311983. The next prime is 204312037. The reversal of 204312032 is 230213402.

It is a self number, because there is not a number n which added to its sum of digits gives 204312032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204312037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 303248 + ... + 303920.

It is an arithmetic number, because the mean of its divisors is an integer number (8598555).

Almost surely, 2204312032 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 204312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206365320).

204312032 is an abundant number, since it is smaller than the sum of its proper divisors (208418608).

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

204312032 is a wasteful number, since it uses less digits than its factorization.

204312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 204312032 is about 14293.7759881705. The cubic root of 204312032 is about 588.9765191747.

Adding to 204312032 its reverse (230213402), we get a palindrome (434525434).

The spelling of 204312032 in words is "two hundred four million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 106 179 212 358 424 673 716 848 1346 1432 1696 2692 2864 5384 5728 9487 10768 18974 21536 35669 37948 71338 75896 120467 142676 151792 240934 285352 303584 481868 570704 963736 1141408 1927472 3854944 6384751 12769502 25539004 51078008 102156016 204312032