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241413432 = 2331347101163
BaseRepresentation
bin11100110001110…
…10110100111000
3121211021001222020
432120322310320
5443300212212
635542154440
75660660151
oct1630726470
9554231866
10241413432
111142a9537
1268a22a20
133b0272b0
14240c2928
15162d9d8c
hexe63ad38

241413432 has 128 divisors (see below), whose sum is σ = 674472960. Its totient is φ = 71539200.

The previous prime is 241413401. The next prime is 241413437. The reversal of 241413432 is 234314142.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (241413437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1480983 + ... + 1481145.

It is an arithmetic number, because the mean of its divisors is an integer number (5269320).

Almost surely, 2241413432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241413432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337236480).

241413432 is an abundant number, since it is smaller than the sum of its proper divisors (433059528).

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

241413432 is a wasteful number, since it uses less digits than its factorization.

241413432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 241413432 is about 15537.4847385283. The cubic root of 241413432 is about 622.6640757157.

Adding to 241413432 its reverse (234314142), we get a palindrome (475727574).

The spelling of 241413432 in words is "two hundred forty-one million, four hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 101 104 141 156 163 188 202 282 303 312 326 376 404 489 564 606 611 652 808 978 1128 1212 1222 1304 1313 1833 1956 2119 2424 2444 2626 3666 3912 3939 4238 4747 4888 5252 6357 7332 7661 7878 8476 9494 10504 12714 14241 14664 15322 15756 16463 16952 18988 22983 25428 28482 30644 31512 32926 37976 45966 49389 50856 56964 61288 61711 65852 91932 98778 99593 113928 123422 131704 183864 185133 197556 199186 214019 246844 298779 370266 395112 398372 428038 493688 597558 642057 740532 773761 796744 856076 1195116 1284114 1481064 1547522 1712152 2321283 2390232 2568228 3095044 4642566 5136456 6190088 9285132 10058893 18570264 20117786 30176679 40235572 60353358 80471144 120706716 241413432