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241198944 = 25371512377
BaseRepresentation
bin11100110000001…
…10011101100000
3121210212011202020
432120012131200
5443221331234
635533421440
75656104630
oct1630063540
9553764666
10241198944
11114172378
126893a880
133ac8078c
14240686c0
1516296549
hexe606760

241198944 has 96 divisors (see below), whose sum is σ = 728695296. Its totient is φ = 68428800.

The previous prime is 241198933. The next prime is 241198957. The reversal of 241198944 is 449891142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 241198896 and 241198905.

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, 100284 + ... + 102660.

It is an arithmetic number, because the mean of its divisors is an integer number (7590576).

Almost surely, 2241198944 is an apocalyptic number.

241198944 is a gapful number since it is divisible by the number (24) 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 241198944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364347648).

241198944 is an abundant number, since it is smaller than the sum of its proper divisors (487496352).

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

241198944 is a wasteful number, since it uses less digits than its factorization.

241198944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2540 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 241198944 is about 15530.5809292505. The cubic root of 241198944 is about 622.4796154677.

The spelling of 241198944 in words is "two hundred forty-one million, one hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1812 2114 2377 2416 3171 3624 4228 4754 4832 6342 7131 7248 8456 9508 12684 14262 14496 16639 16912 19016 25368 28524 33278 33824 38032 49917 50736 57048 66556 76064 99834 101472 114096 133112 199668 228192 266224 358927 399336 532448 717854 798672 1076781 1435708 1597344 2153562 2512489 2871416 4307124 5024978 5742832 7537467 8614248 10049956 11485664 15074934 17228496 20099912 30149868 34456992 40199824 60299736 80399648 120599472 241198944