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241420032 = 2832714969
BaseRepresentation
bin11100110001111…
…00011100000000
3121211021102000200
432120330130000
5443300420112
635542245200
75661015330
oct1630743400
9554242020
10241420032
11114303497
1268a26800
133b02a2b9
14240c50c0
15162dbcdc
hexe63c700

241420032 has 108 divisors (see below), whose sum is σ = 795565680. Its totient is φ = 68972544.

The previous prime is 241420001. The next prime is 241420057. The reversal of 241420032 is 230024142.

241420032 is a `hidden beast` number, since 241 + 420 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 241419987 and 241420014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8644 + ... + 23612.

Almost surely, 2241420032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397782840).

241420032 is an abundant number, since it is smaller than the sum of its proper divisors (554145648).

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

241420032 is a wasteful number, since it uses less digits than its factorization.

241420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14998 (or 14981 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 241420032 is about 15537.6971266658. The cubic root of 241420032 is about 622.6697500001.

Adding to 241420032 its reverse (230024142), we get a palindrome (471444174).

The spelling of 241420032 in words is "two hundred forty-one million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 14969 16128 29938 44907 59876 89814 104783 119752 134721 179628 209566 239504 269442 314349 359256 419132 479008 538884 628698 718512 838264 943047 958016 1077768 1257396 1437024 1676528 1886094 1916032 2155536 2514792 2874048 3353056 3772188 3832064 4311072 5029584 5748096 6706112 7544376 8622144 10059168 11496192 13412224 15088752 17244288 20118336 26824448 30177504 34488576 40236672 60355008 80473344 120710016 241420032