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241402434 = 237132347409
BaseRepresentation
bin11100110001110…
…00001001000010
3121211020111212220
432120320021002
5443244334214
635542031510
75660613120
oct1630701102
9554214786
10241402434
111142a1249
1268a18596
133b0222a0
14240bc910
15162d69a9
hexe638242

241402434 has 128 divisors (see below), whose sum is σ = 634798080. Its totient is φ = 59457024.

The previous prime is 241402373. The next prime is 241402463. The reversal of 241402434 is 434204142.

It is a happy number.

It is a super-2 number, since 2×2414024342 = 116550270282248712, which contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 590022 + ... + 590430.

It is an arithmetic number, because the mean of its divisors is an integer number (4959360).

Almost surely, 2241402434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241402434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317399040).

241402434 is an abundant number, since it is smaller than the sum of its proper divisors (393395646).

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

241402434 is a wasteful number, since it uses less digits than its factorization.

241402434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 241402434 is about 15537.1308162093. The cubic root of 241402434 is about 622.6546200647.

Adding to 241402434 its reverse (434204142), we get a palindrome (675606576).

The spelling of 241402434 in words is "two hundred forty-one million, four hundred two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 47 69 78 91 94 138 141 161 182 273 282 299 322 329 409 483 546 598 611 658 818 897 966 987 1081 1222 1227 1794 1833 1974 2093 2162 2454 2863 3243 3666 4186 4277 5317 5726 6279 6486 7567 8554 8589 9407 10634 12558 12831 14053 15134 15951 17178 18814 19223 22701 25662 28106 28221 31902 37219 38446 42159 45402 56442 57669 65849 74438 84318 98371 111657 115338 122291 131698 134561 196742 197547 223314 244582 249899 269122 295113 366873 395094 403683 442129 499798 590226 733746 749697 807366 856037 884258 1326387 1499394 1712074 1749293 2568111 2652774 3094903 3498586 5136222 5247879 5747677 6189806 9284709 10495758 11495354 17243031 18569418 34486062 40233739 80467478 120701217 241402434