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242411136 = 2731157389
BaseRepresentation
bin11100111001011…
…10011010000000
3121220010202120020
432130232122000
5444024124021
640015413440
76002314002
oct1634563200
9556122506
10242411136
11114920090
1269224280
133b2b6456
14242a2372
15164357c6
hexe72e680

242411136 has 64 divisors (see below), whose sum is σ = 702453600. Its totient is φ = 73456640.

The previous prime is 242411131. The next prime is 242411137. The reversal of 242411136 is 631114242.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242411131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24471 + ... + 32918.

Almost surely, 2242411136 is an apocalyptic number.

It is an amenable number.

242411136 is an abundant number, since it is smaller than the sum of its proper divisors (460042464).

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

242411136 is a wasteful number, since it uses less digits than its factorization.

242411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57417 (or 57405 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 242411136 is about 15569.5579898724. The cubic root of 242411136 is about 623.5206706849.

Adding to 242411136 its reverse (631114242), we get a palindrome (873525378).

The spelling of 242411136 in words is "two hundred forty-two million, four hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 57389 114778 172167 229556 344334 459112 631279 688668 918224 1262558 1377336 1836448 1893837 2525116 2754672 3672896 3787674 5050232 5509344 7345792 7575348 10100464 11018688 15150696 20200928 22037376 30301392 40401856 60602784 80803712 121205568 242411136