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29443320 = 23325172283
BaseRepresentation
bin111000001010…
…0010011111000
32001101212122100
41300110103320
530014141240
62531023400
7505156404
oct160242370
961355570
1029443320
1115690225
129a3ab60
13613b7aa
143ca6104
1528b8e30
hex1c144f8

29443320 has 144 divisors (see below), whose sum is σ = 102009960. Its totient is φ = 7363584.

The previous prime is 29443319. The next prime is 29443321. The reversal of 29443320 is 2334492.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29443319) and next prime (29443321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29443321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103899 + ... + 104181.

Almost surely, 229443320 is an apocalyptic number.

29443320 is a gapful number since it is divisible by the number (20) 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 29443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51004980).

29443320 is an abundant number, since it is smaller than the sum of its proper divisors (72566640).

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

29443320 is a wasteful number, since it uses less digits than its factorization.

29443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 29443320 is about 5426.1699199343. The cubic root of 29443320 is about 308.7893118711.

The spelling of 29443320 in words is "twenty-nine million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 283 289 306 340 360 408 510 566 578 612 680 765 849 867 1020 1132 1156 1224 1415 1445 1530 1698 1734 2040 2264 2312 2547 2601 2830 2890 3060 3396 3468 4245 4335 4811 5094 5202 5660 5780 6120 6792 6936 8490 8670 9622 10188 10404 11320 11560 12735 13005 14433 16980 17340 19244 20376 20808 24055 25470 26010 28866 33960 34680 38488 43299 48110 50940 52020 57732 72165 81787 86598 96220 101880 104040 115464 144330 163574 173196 192440 216495 245361 288660 327148 346392 408935 432990 490722 577320 654296 736083 817870 865980 981444 1226805 1472166 1635740 1731960 1962888 2453610 2944332 3271480 3680415 4907220 5888664 7360830 9814440 14721660 29443320