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242621379 = 337111347191
BaseRepresentation
bin11100111011000…
…01101111000011
3121220112102222000
432131201233003
5444102341004
640024115043
76004150650
oct1635415703
9556472860
10242621379
11114a54040
1269305a83
133b35b060
1424318c27
1516477c39
hexe761bc3

242621379 has 128 divisors (see below), whose sum is σ = 495452160. Its totient is φ = 113270400.

The previous prime is 242621377. The next prime is 242621429. The reversal of 242621379 is 973126242.

242621379 is a `hidden beast` number, since 24 + 2 + 621 + 3 + 7 + 9 = 666.

It is not a de Polignac number, because 242621379 - 21 = 242621377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242621377) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1270174 + ... + 1270364.

It is an arithmetic number, because the mean of its divisors is an integer number (3870720).

Almost surely, 2242621379 is an apocalyptic number.

242621379 is an abundant number, since it is smaller than the sum of its proper divisors (252830781).

242621379 is a wasteful number, since it uses less digits than its factorization.

242621379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 242621379 is about 15576.3082596615. The cubic root of 242621379 is about 623.7008782700.

The spelling of 242621379 in words is "two hundred forty-two million, six hundred twenty-one thousand, three hundred seventy-nine".

Divisors: 1 3 7 9 11 13 21 27 33 39 47 63 77 91 99 117 141 143 189 191 231 273 297 329 351 423 429 517 573 611 693 819 987 1001 1269 1287 1337 1551 1719 1833 2079 2101 2457 2483 2961 3003 3619 3861 4011 4277 4653 5157 5499 6303 6721 7449 8883 8977 9009 10857 12033 12831 13959 14707 16497 17381 18909 20163 22347 26931 27027 27313 32571 36099 38493 44121 47047 52143 56727 60489 62839 67041 80793 81939 97713 98747 115479 116701 132363 141141 156429 181467 188517 191191 242379 245817 296241 350103 397089 423423 469287 565551 573573 691229 737451 816907 888723 1050309 1270269 1283711 1696653 1720719 2073687 2450721 2666169 3150927 3851133 5162157 6221061 7352163 8985977 11553399 18663183 22056489 26957931 34660197 80873793 242621379