Search a number
-
+
204347232 = 25331631451
BaseRepresentation
bin11000010111000…
…01011101100000
3112020111220201000
430023201131200
5404303102412
632135512000
75030631345
oct1413413540
9466456630
10204347232
11a5392111
1258528600
1333449c2b
141d1d47cc
1512e174dc
hexc2e1760

204347232 has 96 divisors (see below), whose sum is σ = 600082560. Its totient is φ = 67651200.

The previous prime is 204347219. The next prime is 204347237. The reversal of 204347232 is 232743402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204347196 and 204347205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204347237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140107 + ... + 141557.

It is an arithmetic number, because the mean of its divisors is an integer number (6250860).

Almost surely, 2204347232 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 204347232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300041280).

204347232 is an abundant number, since it is smaller than the sum of its proper divisors (395735328).

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

204347232 is a wasteful number, since it uses less digits than its factorization.

204347232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 204347232 is about 14295.0072402920. The cubic root of 204347232 is about 589.0103412698.

The spelling of 204347232 in words is "two hundred four million, three hundred forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 163 216 288 326 432 489 652 864 978 1304 1451 1467 1956 2608 2902 2934 3912 4353 4401 5216 5804 5868 7824 8706 8802 11608 11736 13059 15648 17412 17604 23216 23472 26118 34824 35208 39177 46432 46944 52236 69648 70416 78354 104472 139296 140832 156708 208944 236513 313416 417888 473026 626832 709539 946052 1253664 1419078 1892104 2128617 2838156 3784208 4257234 5676312 6385851 7568416 8514468 11352624 12771702 17028936 22705248 25543404 34057872 51086808 68115744 102173616 204347232