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421234240 = 26571731087
BaseRepresentation
bin11001000110111…
…000011001000000
31002100121220202011
4121012320121000
51330313443430
6105444302304
713303301110
oct3106703100
91070556664
10421234240
111a6859579
12b90a1994
136936773b
143dd31040
1526eaa22a
hex191b8640

421234240 has 112 divisors (see below), whose sum is σ = 1154045952. Its totient is φ = 143456256.

The previous prime is 421234207. The next prime is 421234243. The reversal of 421234240 is 42432124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (421234243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386977 + ... + 388063.

Almost surely, 2421234240 is an apocalyptic number.

421234240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577022976).

421234240 is an abundant number, since it is smaller than the sum of its proper divisors (732811712).

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

421234240 is a wasteful number, since it uses less digits than its factorization.

421234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 421234240 is about 20523.9918144595. The cubic root of 421234240 is about 749.6200979688.

Adding to 421234240 its reverse (42432124), we get a palindrome (463666364).

The spelling of 421234240 in words is "four hundred twenty-one million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 173 224 280 320 346 448 560 692 865 1087 1120 1211 1384 1730 2174 2240 2422 2768 3460 4348 4844 5435 5536 6055 6920 7609 8696 9688 10870 11072 12110 13840 15218 17392 19376 21740 24220 27680 30436 34784 38045 38752 43480 48440 55360 60872 69568 76090 77504 86960 96880 121744 152180 173920 188051 193760 243488 304360 347840 376102 387520 486976 608720 752204 940255 1217440 1316357 1504408 1880510 2434880 2632714 3008816 3761020 5265428 6017632 6581785 7522040 10530856 12035264 13163570 15044080 21061712 26327140 30088160 42123424 52654280 60176320 84246848 105308560 210617120 421234240