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241407432 = 23337672383
BaseRepresentation
bin11100110001110…
…01010111001000
3121211020202202000
432120321113020
5443300014212
635542111000
75660633520
oct1630712710
9554222660
10241407432
111142a4a82
1268a1b460
133b024646
14240c0680
15162d81dc
hexe6395c8

241407432 has 128 divisors (see below), whose sum is σ = 778137600. Its totient is φ = 67915584.

The previous prime is 241407431. The next prime is 241407433. The reversal of 241407432 is 234704142.

241407432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241407431) and next prime (241407433).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 241407396 and 241407405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241407431) 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, 100113 + ... + 102495.

It is an arithmetic number, because the mean of its divisors is an integer number (6079200).

Almost surely, 2241407432 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 241407432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389068800).

241407432 is an abundant number, since it is smaller than the sum of its proper divisors (536730168).

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

241407432 is a wasteful number, since it uses less digits than its factorization.

241407432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 241407432 is about 15537.2916558839. The cubic root of 241407432 is about 622.6589171855.

The spelling of 241407432 in words is "two hundred forty-one million, four hundred seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 84 108 126 134 168 189 201 216 252 268 378 402 469 504 536 603 756 804 938 1206 1407 1512 1608 1809 1876 2383 2412 2814 3618 3752 4221 4766 4824 5628 7149 7236 8442 9532 11256 12663 14298 14472 16681 16884 19064 21447 25326 28596 33362 33768 42894 50043 50652 57192 64341 66724 85788 100086 101304 128682 133448 150129 159661 171576 200172 257364 300258 319322 400344 450387 478983 514728 600516 638644 900774 957966 1117627 1201032 1277288 1436949 1801548 1915932 2235254 2873898 3352881 3603096 3831864 4310847 4470508 5747796 6705762 8621694 8941016 10058643 11495592 13411524 17243388 20117286 26823048 30175929 34486776 40234572 60351858 80469144 120703716 241407432