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243142092 = 2232174779107
BaseRepresentation
bin11100111111000…
…00110111001100
3121221111220020200
432133200313030
5444221021332
640043213500
76011450034
oct1637406714
9557456220
10243142092
1111527a286
1269517290
133b4b107b
14244128c4
151652c17c
hexe7e0dcc

243142092 has 144 divisors (see below), whose sum is σ = 679311360. Its totient is φ = 73022976.

The previous prime is 243142087. The next prime is 243142103. The reversal of 243142092 is 290241342.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272303 + ... + 2272409.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2243142092 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 243142092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

243142092 is an abundant number, since it is smaller than the sum of its proper divisors (436169268).

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

243142092 is a wasteful number, since it uses less digits than its factorization.

243142092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 243142092 is about 15593.0142050856. The cubic root of 243142092 is about 624.1467541913.

The spelling of 243142092 in words is "two hundred forty-three million, one hundred forty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 79 94 102 107 141 153 158 188 204 214 237 282 306 316 321 423 428 474 564 612 642 711 799 846 948 963 1284 1343 1422 1598 1692 1819 1926 2397 2686 2844 3196 3638 3713 3852 4029 4794 5029 5372 5457 7191 7276 7426 8058 8453 9588 10058 10914 11139 12087 14382 14852 15087 16116 16371 16906 20116 21828 22278 24174 25359 28764 30174 32742 33417 33812 44556 45261 48348 50718 60348 63121 65484 66834 76077 85493 90522 101436 126242 133668 143701 152154 170986 181044 189363 252484 256479 287402 304308 341972 378726 397291 431103 512958 568089 574804 757452 769437 794582 862206 1025916 1136178 1191873 1293309 1538874 1589164 1724412 2272356 2383746 2586618 3077748 3575619 4767492 5173236 6753947 7151238 13507894 14302476 20261841 27015788 40523682 60785523 81047364 121571046 243142092