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241448680 = 235113714831
BaseRepresentation
bin11100110010000…
…11011011101000
3121211022212022201
432121003123220
5443302324210
635543025544
75661165004
oct1631033350
9554285281
10241448680
11114322a70
1268a3b2b4
133b03a355
14240d1704
15162e553a
hexe6436e8

241448680 has 64 divisors (see below), whose sum is σ = 608705280. Its totient is φ = 85420800.

The previous prime is 241448659. The next prime is 241448719. The reversal of 241448680 is 86844142.

241448680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 8865 + ... + 23695.

It is an arithmetic number, because the mean of its divisors is an integer number (9511020).

Almost surely, 2241448680 is an apocalyptic number.

241448680 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 241448680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304352640).

241448680 is an abundant number, since it is smaller than the sum of its proper divisors (367256600).

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

241448680 is a wasteful number, since it uses less digits than its factorization.

241448680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14890 (or 14886 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 241448680 is about 15538.6189862549. The cubic root of 241448680 is about 622.6943786350.

The spelling of 241448680 in words is "two hundred forty-one million, four hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 8140 14831 16280 29662 59324 74155 118648 148310 163141 296620 326282 548747 593240 652564 815705 1097494 1305128 1631410 2194988 2743735 3262820 4389976 5487470 6036217 6525640 10974940 12072434 21949880 24144868 30181085 48289736 60362170 120724340 241448680