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241404240 = 243571113063
BaseRepresentation
bin11100110001110…
…00100101010000
3121211020121100210
432120320211100
5443244413430
635542044120
75660621310
oct1630704520
9554217323
10241404240
111142a2640
1268a19640
133b02305c
14240bd440
15162d72b0
hexe638950

241404240 has 160 divisors (see below), whose sum is σ = 933083136. Its totient is φ = 50158080.

The previous prime is 241404227. The next prime is 241404257. The reversal of 241404240 is 42404142.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11949 + ... + 25011.

Almost surely, 2241404240 is an apocalyptic number.

241404240 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 241404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466541568).

241404240 is an abundant number, since it is smaller than the sum of its proper divisors (691678896).

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

241404240 is a wasteful number, since it uses less digits than its factorization.

241404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13097 (or 13091 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 241404240 is about 15537.1889349393. The cubic root of 241404240 is about 622.6561728127.

Adding to 241404240 its reverse (42404142), we get a palindrome (283808382).

The spelling of 241404240 in words is "two hundred forty-one million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 13063 18480 26126 39189 52252 65315 78378 91441 104504 130630 143693 156756 182882 195945 209008 261260 274323 287386 313512 365764 391890 431079 457205 522520 548646 574772 627024 718465 731528 783780 862158 914410 1005851 1045040 1097292 1149544 1371615 1436930 1463056 1567560 1724316 1828820 2011702 2155395 2194584 2299088 2743230 2873860 3017553 3135120 3448632 3657640 4023404 4310790 4389168 5029255 5486460 5747720 6035106 6897264 7315280 8046808 8621580 10058510 10972920 11495440 12070212 15087765 16093616 17243160 20117020 21945840 24140424 30175530 34486320 40234040 48280848 60351060 80468080 120702120 241404240