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242114424 = 23343283829
BaseRepresentation
bin11100110111001…
…01111101111000
3121212120200112220
432123211331320
5443440130144
640005204040
75666636646
oct1633457570
9555520486
10242114424
11114738172
1269100620
133b211396
1424226196
15163c7919
hexe6e5f78

242114424 has 64 divisors (see below), whose sum is σ = 622300800. Its totient is φ = 78454656.

The previous prime is 242114423. The next prime is 242114461. The reversal of 242114424 is 424411242.

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 a junction number, because it is equal to n+sod(n) for n = 242114394 and 242114403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242114423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291642 + ... + 292470.

It is an arithmetic number, because the mean of its divisors is an integer number (9723450).

Almost surely, 2242114424 is an apocalyptic number.

242114424 is a gapful number since it is divisible by the number (24) 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 242114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311150400).

242114424 is an abundant number, since it is smaller than the sum of its proper divisors (380186376).

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

242114424 is a wasteful number, since it uses less digits than its factorization.

242114424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1160 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 242114424 is about 15560.0264781266. The cubic root of 242114424 is about 623.2661697265.

Adding to 242114424 its reverse (424411242), we get a palindrome (666525666).

The spelling of 242114424 in words is "two hundred forty-two million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 283 344 516 566 829 849 1032 1132 1658 1698 2264 2487 3316 3396 4974 6632 6792 9948 12169 19896 24338 35647 36507 48676 71294 73014 97352 106941 142588 146028 213882 234607 285176 292056 427764 469214 703821 855528 938428 1407642 1876856 2815284 5630568 10088101 20176202 30264303 40352404 60528606 80704808 121057212 242114424