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241254016 = 2729103631
BaseRepresentation
bin11100110000100…
…11111010000000
3121210221222021221
432120103322000
5443230112031
635534524424
75656424323
oct1630237200
9553858257
10241254016
111141aa793
1268966714
133ac9c873
14240807ba
15162a7a11
hexe613e80

241254016 has 64 divisors (see below), whose sum is σ = 502819200. Its totient is φ = 115153920.

The previous prime is 241253959. The next prime is 241254017. The reversal of 241254016 is 610452142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2412540162 = 116407000472256512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241254017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382021 + ... + 382651.

It is an arithmetic number, because the mean of its divisors is an integer number (7856550).

Almost surely, 2241254016 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 241254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251409600).

241254016 is an abundant number, since it is smaller than the sum of its proper divisors (261565184).

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

241254016 is a wasteful number, since it uses less digits than its factorization.

241254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 241254016 is about 15532.3538460853. The cubic root of 241254016 is about 622.5269879645.

The spelling of 241254016 in words is "two hundred forty-one million, two hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 103 116 128 206 232 412 464 631 824 928 1262 1648 1856 2524 2987 3296 3712 5048 5974 6592 10096 11948 13184 18299 20192 23896 36598 40384 47792 64993 73196 80768 95584 129986 146392 191168 259972 292784 382336 519944 585568 1039888 1171136 1884797 2079776 2342272 3769594 4159552 7539188 8319104 15078376 30156752 60313504 120627008 241254016