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241289440 = 2557972221
BaseRepresentation
bin11100110000111…
…00100011100000
3121211000202212221
432120130203200
5443232230230
635535400424
75656632520
oct1630344340
9554022787
10241289440
11114224367
1268983114
133acb2a22
142408d680
15162b327a
hexe61c8e0

241289440 has 96 divisors (see below), whose sum is σ = 658494144. Its totient is φ = 81838080.

The previous prime is 241289429. The next prime is 241289467. The reversal of 241289440 is 44982142.

It is a junction number, because it is equal to n+sod(n) for n = 241289396 and 241289405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107530 + ... + 109750.

It is an arithmetic number, because the mean of its divisors is an integer number (6859314).

Almost surely, 2241289440 is an apocalyptic number.

241289440 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 241289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329247072).

241289440 is an abundant number, since it is smaller than the sum of its proper divisors (417204704).

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

241289440 is a wasteful number, since it uses less digits than its factorization.

241289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 241289440 is about 15533.4941336455. The cubic root of 241289440 is about 622.5574555980.

The spelling of 241289440 in words is "two hundred forty-one million, two hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 97 112 140 160 194 224 280 388 485 560 679 776 970 1120 1358 1552 1940 2221 2716 3104 3395 3880 4442 5432 6790 7760 8884 10864 11105 13580 15520 15547 17768 21728 22210 27160 31094 35536 44420 54320 62188 71072 77735 88840 108640 124376 155470 177680 215437 248752 310940 355360 430874 497504 621880 861748 1077185 1243760 1508059 1723496 2154370 2487520 3016118 3446992 4308740 6032236 6893984 7540295 8617480 12064472 15080590 17234960 24128944 30161180 34469920 48257888 60322360 120644720 241289440