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241829130 = 23523675231
BaseRepresentation
bin11100110101000…
…00010100001010
3121212001012012110
432122200110022
5443402013010
635555123150
75664341124
oct1632402412
9555035173
10241829130
11114562894
1268ba34b6
133b14157a
1424190214
151636d120
hexe6a050a

241829130 has 64 divisors (see below), whose sum is σ = 614780928. Its totient is φ = 60751680.

The previous prime is 241829129. The next prime is 241829177. The reversal of 241829130 is 31928142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43615 + ... + 48845.

It is an arithmetic number, because the mean of its divisors is an integer number (9605952).

Almost surely, 2241829130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241829130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307390464).

241829130 is an abundant number, since it is smaller than the sum of its proper divisors (372951798).

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

241829130 is a wasteful number, since it uses less digits than its factorization.

241829130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 241829130 is about 15550.8562465222. The cubic root of 241829130 is about 623.0212662583.

The spelling of 241829130 in words is "two hundred forty-one million, eight hundred twenty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 67 69 115 134 138 201 230 335 345 402 670 690 1005 1541 2010 3082 4623 5231 7705 9246 10462 15410 15693 23115 26155 31386 46230 52310 78465 120313 156930 240626 350477 360939 601565 700954 721878 1051431 1203130 1752385 1804695 2102862 3504770 3609390 5257155 8060971 10514310 16121942 24182913 40304855 48365826 80609710 120914565 241829130