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241344001224 = 23336716676617
BaseRepresentation
bin1110000011000100111…
…0010011010011001000
3212001221200022120002000
43200301032103103020
512423233031014344
6302512155311000
723302505106504
oct3406116232310
9761850276060
10241344001224
1193398440257
123a93574b460
13199b2974521
14b976d85304
156427e3da69
hex38313934c8

241344001224 has 64 divisors (see below), whose sum is σ = 680406014400. Its totient is φ = 79247279232.

The previous prime is 241344001177. The next prime is 241344001243. The reversal of 241344001224 is 422100443142.

241344001224 is a `hidden beast` number, since 2 + 4 + 1 + 34 + 400 + 1 + 224 = 666.

It is a super-2 number, since 2×2413440012242 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8323837 + ... + 8352780.

It is an arithmetic number, because the mean of its divisors is an integer number (10631343975).

Almost surely, 2241344001224 is an apocalyptic number.

241344001224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241344001224 is an abundant number, since it is smaller than the sum of its proper divisors (439062013176).

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

241344001224 is a wasteful number, since it uses less digits than its factorization.

241344001224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16676699 (or 16676689 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 241344001224 its reverse (422100443142), we get a palindrome (663444444366).

The spelling of 241344001224 in words is "two hundred forty-one billion, three hundred forty-four million, one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 14472 16676617 33353234 50029851 66706468 100059702 133412936 150089553 200119404 300179106 400238808 450268659 600358212 900537318 1117333339 1200716424 1801074636 2234666678 3352000017 3602149272 4469333356 6704000034 8938666712 10056000051 13408000068 20112000102 26816000136 30168000153 40224000204 60336000306 80448000408 120672000612 241344001224