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344242332 = 223372831609
BaseRepresentation
bin10100100001001…
…011100010011100
3212222202022201000
4110201023202130
51201111223312
654054150300
711350003650
oct2441134234
9788668630
10344242332
111673523a5
1297352390
135641b5b5
1433a0ca60
152034cadc
hex1484b89c

344242332 has 96 divisors (see below), whose sum is σ = 1024217600. Its totient is φ = 97946496.

The previous prime is 344242313. The next prime is 344242343. The reversal of 344242332 is 233242443.

344242332 is a `hidden beast` number, since 3 + 4 + 424 + 233 + 2 = 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 junction number, because it is equal to n+sod(n) for n = 344242296 and 344242305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213144 + ... + 214752.

Almost surely, 2344242332 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 344242332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512108800).

344242332 is an abundant number, since it is smaller than the sum of its proper divisors (679975268).

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

344242332 is a wasteful number, since it uses less digits than its factorization.

344242332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1904 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 344242332 is about 18553.7686737762. The cubic root of 344242332 is about 700.8441055230.

Adding to 344242332 its reverse (233242443), we get a palindrome (577484775).

The spelling of 344242332 in words is "three hundred forty-four million, two hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 283 378 566 756 849 1132 1609 1698 1981 2547 3218 3396 3962 4827 5094 5943 6436 7641 7924 9654 10188 11263 11886 14481 15282 17829 19308 22526 23772 28962 30564 33789 35658 43443 45052 53487 57924 67578 71316 86886 101367 106974 135156 173772 202734 213948 304101 405468 455347 608202 910694 1216404 1366041 1821388 2732082 3187429 4098123 5464164 6374858 8196246 9562287 12294369 12749716 16392492 19124574 24588738 28686861 38249148 49177476 57373722 86060583 114747444 172121166 344242332