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241112430 = 23351373941
BaseRepresentation
bin11100101111100…
…01010101101110
3121210200210002000
432113301111232
5443211044210
635531513130
75655264456
oct1627612556
9553623060
10241112430
11114113379
12688b87a6
133ac502a0
1424044d66
151627aac0
hexe5f156e

241112430 has 128 divisors (see below), whose sum is σ = 702656640. Its totient is φ = 58475520.

The previous prime is 241112407. The next prime is 241112471. The reversal of 241112430 is 34211142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255760 + ... + 256700.

It is an arithmetic number, because the mean of its divisors is an integer number (5489505).

Almost surely, 2241112430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241112430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351328320).

241112430 is an abundant number, since it is smaller than the sum of its proper divisors (461544210).

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

241112430 is a wasteful number, since it uses less digits than its factorization.

241112430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 241112430 is about 15527.7954005068. The cubic root of 241112430 is about 622.4051822487.

Adding to 241112430 its reverse (34211142), we get a palindrome (275323572).

It can be divided in two parts, 2411 and 12430, that added together give a palindrome (14841).

The spelling of 241112430 in words is "two hundred forty-one million, one hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 73 78 90 117 130 135 146 195 219 234 270 351 365 390 438 585 657 702 730 941 949 1095 1170 1314 1755 1882 1898 1971 2190 2823 2847 3285 3510 3942 4705 4745 5646 5694 6570 8469 8541 9410 9490 9855 12233 14115 14235 16938 17082 19710 24466 25407 25623 28230 28470 36699 42345 42705 50814 51246 61165 68693 73398 84690 85410 110097 122330 127035 128115 137386 183495 206079 220194 254070 256230 330291 343465 366990 412158 550485 618237 660582 686930 893009 1030395 1100970 1236474 1651455 1786018 1854711 2060790 2679027 3091185 3302910 3709422 4465045 5358054 6182370 8037081 8930090 9273555 13395135 16074162 18547110 24111243 26790270 40185405 48222486 80370810 120556215 241112430