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204414392 = 237131783199
BaseRepresentation
bin11000010111100…
…01110110111000
3112020122022211102
430023301312320
5404312230032
632141150532
75031331220
oct1413616670
9466568742
10204414392
11a5428616
125855b448
1333471680
141d211080
1512e2c362
hexc2f1db8

204414392 has 128 divisors (see below), whose sum is σ = 508032000. Its totient is φ = 74815488.

The previous prime is 204414299. The next prime is 204414449. The reversal of 204414392 is 293414402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027109 + ... + 1027307.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2204414392 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 204414392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

204414392 is an abundant number, since it is smaller than the sum of its proper divisors (303617608).

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

204414392 is a wasteful number, since it uses less digits than its factorization.

204414392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 204414392 is about 14297.3561192271. The cubic root of 204414392 is about 589.0748615169.

Adding to 204414392 its reverse (293414402), we get a palindrome (497828794).

The spelling of 204414392 in words is "two hundred four million, four hundred fourteen thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 83 91 104 119 136 166 182 199 221 238 332 364 398 442 476 581 664 728 796 884 952 1079 1162 1393 1411 1547 1592 1768 2158 2324 2587 2786 2822 3094 3383 4316 4648 5174 5572 5644 6188 6766 7553 8632 9877 10348 11144 11288 12376 13532 15106 16517 18109 18343 19754 20696 23681 27064 30212 33034 36218 36686 39508 43979 47362 60424 66068 72436 73372 79016 87958 94724 115619 128401 132136 144872 146744 175916 189448 214721 231238 256802 280789 307853 351832 429442 462476 513604 561578 615706 858884 924952 1027208 1123156 1231412 1503047 1717768 1965523 2246312 2462824 3006094 3650257 3931046 6012188 7300514 7862092 12024376 14601028 15724184 25551799 29202056 51103598 102207196 204414392