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241055424 = 26322914431
BaseRepresentation
bin11100101111000…
…11011011000000
3121210120212212200
432113203123000
5443202233144
635530353200
75654636331
oct1627433300
9553525780
10241055424
11114084565
126888b800
133ac3035c
142402c288
1516268c69
hexe5e36c0

241055424 has 84 divisors (see below), whose sum is σ = 714816960. Its totient is φ = 77575680.

The previous prime is 241055401. The next prime is 241055429. The reversal of 241055424 is 424550142.

241055424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (241055429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9489 + ... + 23919.

Almost surely, 2241055424 is an apocalyptic number.

241055424 is a gapful number since it is divisible by the number (24) 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 241055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357408480).

241055424 is an abundant number, since it is smaller than the sum of its proper divisors (473761536).

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

241055424 is a wasteful number, since it uses less digits than its factorization.

241055424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14478 (or 14465 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 241055424 is about 15525.9596804835. The cubic root of 241055424 is about 622.3561268123.

The spelling of 241055424 in words is "two hundred forty-one million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 14431 16704 28862 43293 57724 86586 115448 129879 173172 230896 259758 346344 418499 461792 519516 692688 836998 923584 1039032 1255497 1385376 1673996 2078064 2510994 2770752 3347992 3766491 4156128 5021988 6695984 7532982 8312256 10043976 13391968 15065964 20087952 26783936 30131928 40175904 60263856 80351808 120527712 241055424