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1341232344 = 233419412657
BaseRepresentation
bin100111111110001…
…1001010011011000
310110110202122220000
41033330121103120
510221323413334
6341031133000
745144200244
oct11774312330
93413678800
101341232344
116290aa791
12315214160
13184b4370a
14ca1b5424
157cb37299
hex4ff194d8

1341232344 has 160 divisors (see below), whose sum is σ = 4052386800. Its totient is φ = 413061120.

The previous prime is 1341232301. The next prime is 1341232349. The reversal of 1341232344 is 4432321431.

1341232344 is a `hidden beast` number, since 13 + 412 + 3 + 234 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341232349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 503464 + ... + 506120.

Almost surely, 21341232344 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 1341232344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026193400).

1341232344 is an abundant number, since it is smaller than the sum of its proper divisors (2711154456).

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

1341232344 is a wasteful number, since it uses less digits than its factorization.

1341232344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735 (or 2722 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 1341232344 is about 36622.8391034884. The cubic root of 1341232344 is about 1102.8116347976.

Adding to 1341232344 its reverse (4432321431), we get a palindrome (5773553775).

The spelling of 1341232344 in words is "one billion, three hundred forty-one million, two hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 41 54 57 72 76 81 82 108 114 123 152 162 164 171 216 228 246 324 328 342 369 456 492 513 648 684 738 779 984 1026 1107 1368 1476 1539 1558 2052 2214 2337 2657 2952 3078 3116 3321 4104 4428 4674 5314 6156 6232 6642 7011 7971 8856 9348 10628 12312 13284 14022 15942 18696 21033 21256 23913 26568 28044 31884 42066 47826 50483 56088 63099 63768 71739 84132 95652 100966 108937 126198 143478 151449 168264 191304 201932 215217 217874 252396 286956 302898 326811 403864 430434 435748 454347 504792 573912 605796 653622 860868 871496 908694 980433 1211592 1307244 1363041 1721736 1817388 1960866 2069803 2614488 2726082 2941299 3634776 3921732 4089123 4139606 5452164 5882598 6209409 7843464 8178246 8279212 8823897 10904328 11765196 12418818 16356492 16558424 17647794 18628227 23530392 24837636 32712984 35295588 37256454 49675272 55884681 70591176 74512908 111769362 149025816 167654043 223538724 335308086 447077448 670616172 1341232344