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241642440 = 23345135737
BaseRepresentation
bin11100110011100…
…10101111001000
3121211200201010000
432121302233020
5443330024230
635551123000
75662632624
oct1631625710
9554621100
10241642440
111144455a6
1268b13460
133b0a75c0
1424142184
1516332b60
hexe672bc8

241642440 has 160 divisors (see below), whose sum is σ = 874815480. Its totient is φ = 59470848.

The previous prime is 241642433. The next prime is 241642493. The reversal of 241642440 is 44246142.

It is a happy number.

241642440 is a `hidden beast` number, since 2 + 416 + 4 + 244 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69455556 + 172186884 = 8334^2 + 13122^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39252 + ... + 44988.

Almost surely, 2241642440 is an apocalyptic number.

241642440 is a gapful number since it is divisible by the number (20) 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 241642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437407740).

241642440 is an abundant number, since it is smaller than the sum of its proper divisors (633173040).

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

241642440 is a wasteful number, since it uses less digits than its factorization.

241642440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 241642440 is about 15544.8525242281. The cubic root of 241642440 is about 622.8609026390.

Adding to 241642440 its reverse (44246142), we get a palindrome (285888582).

The spelling of 241642440 in words is "two hundred forty-one million, six hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 5737 7020 8424 10530 11474 14040 17211 21060 22948 28685 34422 42120 45896 51633 57370 68844 74581 86055 103266 114740 137688 149162 154899 172110 206532 223743 229480 258165 298324 309798 344220 372905 413064 447486 464697 516330 596648 619596 671229 688440 745810 774495 894972 929394 1032660 1118715 1239192 1342458 1491620 1548990 1789944 1858788 2013687 2065320 2237430 2323485 2684916 2983240 3097980 3356145 3717576 4027374 4474860 4646970 5369832 6041061 6195960 6712290 8054748 8949720 9293940 10068435 12082122 13424580 16109496 18587880 20136870 24164244 26849160 30205305 40273740 48328488 60410610 80547480 120821220 241642440