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242410432 = 26112231361
BaseRepresentation
bin11100111001011…
…10001111000000
3121220010201121011
432130232033000
5444024113212
640015410304
76002311645
oct1634561700
9556121534
10242410432
1111491a600
1269223994
133b2b6034
14242a1dcc
15164354a7
hexe72e3c0

242410432 has 84 divisors (see below), whose sum is σ = 552133008. Its totient is φ = 105318400.

The previous prime is 242410423. The next prime is 242410433. The reversal of 242410432 is 234014242.

It is a happy number.

242410432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242410433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177432 + ... + 178792.

It is an arithmetic number, because the mean of its divisors is an integer number (6573012).

Almost surely, 2242410432 is an apocalyptic number.

242410432 is a gapful number since it is divisible by the number (22) 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 242410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276066504).

242410432 is an abundant number, since it is smaller than the sum of its proper divisors (309722576).

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

242410432 is a wasteful number, since it uses less digits than its factorization.

242410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1397 counting only the distinct ones).

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

The square root of 242410432 is about 15569.5353816355. The cubic root of 242410432 is about 623.5200670837.

Adding to 242410432 its reverse (234014242), we get a palindrome (476424674).

The spelling of 242410432 in words is "two hundred forty-two million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 176 184 242 253 352 368 484 506 704 736 968 1012 1361 1472 1936 2024 2722 2783 3872 4048 5444 5566 7744 8096 10888 11132 14971 16192 21776 22264 29942 31303 43552 44528 59884 62606 87104 89056 119768 125212 164681 178112 239536 250424 329362 344333 479072 500848 658724 688666 958144 1001696 1317448 1377332 2003392 2634896 2754664 3787663 5269792 5509328 7575326 10539584 11018656 15150652 22037312 30301304 60602608 121205216 242410432