Search a number
-
+
241401440 = 2557241751
BaseRepresentation
bin11100110001101…
…11111001100000
3121211020110112002
432120313321200
5443244321230
635542023132
75660610200
oct1630677140
9554213462
10241401440
111142a0525
1268a17aa8
133b0219b7
14240bc400
15162d6545
hexe637e60

241401440 has 144 divisors (see below), whose sum is σ = 680508864. Its totient is φ = 80640000.

The previous prime is 241401427. The next prime is 241401463. The reversal of 241401440 is 44104142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321065 + ... + 321815.

It is an arithmetic number, because the mean of its divisors is an integer number (4725756).

Almost surely, 2241401440 is an apocalyptic number.

241401440 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 241401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340254432).

241401440 is an abundant number, since it is smaller than the sum of its proper divisors (439107424).

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

241401440 is a wasteful number, since it uses less digits than its factorization.

241401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 241401440 is about 15537.0988282884. The cubic root of 241401440 is about 622.6537654481.

Adding to 241401440 its reverse (44104142), we get a palindrome (285505582).

The spelling of 241401440 in words is "two hundred forty-one million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 80 82 98 112 140 160 164 196 205 224 245 280 287 328 392 410 490 560 574 656 751 784 820 980 1120 1148 1312 1435 1502 1568 1640 1960 2009 2296 2870 3004 3280 3755 3920 4018 4592 5257 5740 6008 6560 7510 7840 8036 9184 10045 10514 11480 12016 15020 16072 20090 21028 22960 24032 26285 30040 30791 32144 36799 40180 42056 45920 52570 60080 61582 64288 73598 80360 84112 105140 120160 123164 147196 153955 160720 168224 183995 210280 215537 246328 294392 307910 321440 367990 420560 431074 492656 588784 615820 735980 841120 862148 985312 1077685 1177568 1231640 1471960 1508759 1724296 2155370 2463280 2943920 3017518 3448592 4310740 4926560 5887840 6035036 6897184 7543795 8621480 12070072 15087590 17242960 24140144 30175180 34485920 48280288 60350360 120700720 241401440