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242374041 = 32721367631
BaseRepresentation
bin11100111001001…
…01010110011001
3121220001212200100
432130211112121
5444021432131
640014530013
76002100600
oct1634452631
9556055610
10242374041
111148a5228
1269206909
133b2a25c0
1424292a37
15164297e6
hexe725599

242374041 has 72 divisors (see below), whose sum is σ = 445833024. Its totient is φ = 125737920.

The previous prime is 242374037. The next prime is 242374057. The reversal of 242374041 is 140473242.

242374041 is a `hidden beast` number, since 24 + 237 + 404 + 1 = 666.

It is not a de Polignac number, because 242374041 - 22 = 242374037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242373996 and 242374014.

It is not an unprimeable number, because it can be changed into a prime (242374091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 383796 + ... + 384426.

Almost surely, 2242374041 is an apocalyptic number.

242374041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242374041 is a deficient number, since it is larger than the sum of its proper divisors (203458983).

242374041 is a wasteful number, since it uses less digits than its factorization.

242374041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 242374041 is about 15568.3666773365. The cubic root of 242374041 is about 623.4888642814.

The spelling of 242374041 in words is "two hundred forty-two million, three hundred seventy-four thousand, forty-one".

Divisors: 1 3 7 9 13 21 39 49 63 67 91 117 147 201 273 441 469 603 631 637 819 871 1407 1893 1911 2613 3283 4221 4417 5679 5733 6097 7839 8203 9849 13251 18291 24609 29547 30919 39753 42277 42679 54873 57421 73827 92757 126831 128037 172263 278271 295939 380493 384111 401947 516789 549601 887817 1205841 1648803 2071573 2663451 3617523 3847207 4946409 6214719 11541621 18644157 26930449 34624863 80791347 242374041