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241604328 = 233723312017
BaseRepresentation
bin11100110011010…
…01011011101000
3121211121202211110
432121221123220
5443322314303
635550230320
75662413540
oct1631513350
9554552743
10241604328
111144199a9
1268ab53a0
133b093154
1424132320
1516326703
hexe6696e8

241604328 has 128 divisors (see below), whose sum is σ = 743915520. Its totient is φ = 63866880.

The previous prime is 241604327. The next prime is 241604329. The reversal of 241604328 is 823406142.

It is an interprime number because it is at equal distance from previous prime (241604327) and next prime (241604329).

It is a junction number, because it is equal to n+sod(n) for n = 241604295 and 241604304.

It is not an unprimeable number, because it can be changed into a prime (241604327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118776 + ... + 120792.

It is an arithmetic number, because the mean of its divisors is an integer number (5811840).

Almost surely, 2241604328 is an apocalyptic number.

241604328 is a gapful number since it is divisible by the number (28) 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 241604328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371957760).

241604328 is an abundant number, since it is smaller than the sum of its proper divisors (502311192).

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

241604328 is a wasteful number, since it uses less digits than its factorization.

241604328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 241604328 is about 15543.6266038528. The cubic root of 241604328 is about 622.8281549108.

The spelling of 241604328 in words is "two hundred forty-one million, six hundred four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 56 62 69 84 92 93 124 138 161 168 184 186 217 248 276 322 372 434 483 552 644 651 713 744 868 966 1288 1302 1426 1736 1932 2017 2139 2604 2852 3864 4034 4278 4991 5208 5704 6051 8068 8556 9982 12102 14119 14973 16136 17112 19964 24204 28238 29946 39928 42357 46391 48408 56476 59892 62527 84714 92782 112952 119784 125054 139173 169428 185564 187581 250108 278346 324737 338856 371128 375162 437689 500216 556692 649474 750324 875378 974211 1113384 1298948 1313067 1438121 1500648 1750756 1948422 2597896 2626134 2876242 3501512 3896844 4314363 5252268 5752484 7793688 8628726 10066847 10504536 11504968 17257452 20133694 30200541 34514904 40267388 60401082 80534776 120802164 241604328