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241340352 = 26311229499
BaseRepresentation
bin11100110001010…
…00111111000000
3121211010100201120
432120220333000
5443240342402
635540432240
75660234121
oct1630507700
9554110646
10241340352
11114259640
12689a8680
133acccc56
14240a4048
15162c33bc
hexe628fc0

241340352 has 112 divisors (see below), whose sum is σ = 701040000. Its totient is φ = 72668160.

The previous prime is 241340303. The next prime is 241340353. The reversal of 241340352 is 253043142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241340353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483399 + ... + 483897.

Almost surely, 2241340352 is an apocalyptic number.

241340352 is a gapful number since it is divisible by the number (22) 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 241340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350520000).

241340352 is an abundant number, since it is smaller than the sum of its proper divisors (459699648).

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

241340352 is a wasteful number, since it uses less digits than its factorization.

241340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 241340352 is about 15535.1328285277. The cubic root of 241340352 is about 622.6012389979.

Adding to 241340352 its reverse (253043142), we get a palindrome (494383494).

The spelling of 241340352 in words is "two hundred forty-one million, three hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 229 264 352 458 499 528 687 704 916 998 1056 1374 1497 1832 1996 2112 2519 2748 2994 3664 3992 5038 5489 5496 5988 7328 7557 7984 10076 10978 10992 11976 14656 15114 15968 16467 20152 21956 21984 23952 30228 31936 32934 40304 43912 43968 47904 60456 65868 80608 87824 95808 114271 120912 131736 161216 175648 228542 241824 263472 342813 351296 457084 483648 526944 685626 914168 1053888 1256981 1371252 1828336 2513962 2742504 3656672 3770943 5027924 5485008 7313344 7541886 10055848 10970016 15083772 20111696 21940032 30167544 40223392 60335088 80446784 120670176 241340352