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242031405 = 357111941269
BaseRepresentation
bin11100110110100…
…01101100101101
3121212102110200010
432123101230231
5443430001110
640003323433
75666142630
oct1633215455
9555373603
10242031405
11114690860
1269080579
133b1b2665
1424203c17
15163ad020
hexe6d1b2d

242031405 has 128 divisors (see below), whose sum is σ = 522547200. Its totient is φ = 92620800.

The previous prime is 242031401. The next prime is 242031409. The reversal of 242031405 is 504130242.

It is an interprime number because it is at equal distance from previous prime (242031401) and next prime (242031409).

It is not a de Polignac number, because 242031405 - 22 = 242031401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242031401) 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, 899611 + ... + 899879.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2242031405 is an apocalyptic number.

It is an amenable number.

242031405 is an abundant number, since it is smaller than the sum of its proper divisors (280515795).

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

242031405 is a wasteful number, since it uses less digits than its factorization.

242031405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 242031405 is about 15557.3585482883. The cubic root of 242031405 is about 623.1949240066.

Adding to 242031405 its reverse (504130242), we get a palindrome (746161647).

The spelling of 242031405 in words is "two hundred forty-two million, thirty-one thousand, four hundred five".

Divisors: 1 3 5 7 11 15 19 21 33 35 41 55 57 77 95 105 123 133 165 205 209 231 269 285 287 385 399 451 615 627 665 779 807 861 1045 1155 1345 1353 1435 1463 1883 1995 2255 2337 2959 3135 3157 3895 4035 4305 4389 5111 5453 5649 6765 7315 8569 8877 9415 9471 11029 11685 14795 15333 15785 16359 20713 21945 25555 25707 27265 28245 33087 35777 42845 44385 47355 55145 56221 59983 62139 76665 77203 81795 103565 107331 121319 128535 165435 168663 178885 179949 209551 231609 281105 299915 310695 363957 386015 393547 536655 606595 628653 843315 849233 899745 1047755 1158045 1180641 1466857 1819785 1967735 2305061 2547699 3143265 4246165 4400571 5903205 6915183 7334285 11525305 12738495 16135427 22002855 34575915 48406281 80677135 242031405