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29340220 = 225741347
BaseRepresentation
bin110111111101…
…1001000111100
32001012122012211
41233323020330
530002341340
62524510204
7504250000
oct157731074
961178184
1029340220
111561a818
1299ab364
1361038a0
143c7a700
1528985ea
hex1bfb23c

29340220 has 120 divisors (see below), whose sum is σ = 79055424. Its totient is φ = 9088128.

The previous prime is 29340211. The next prime is 29340221. The reversal of 29340220 is 2204392.

It is a junction number, because it is equal to n+sod(n) for n = 29340191 and 29340200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29340221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 624237 + ... + 624283.

Almost surely, 229340220 is an apocalyptic number.

29340220 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 29340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39527712).

29340220 is an abundant number, since it is smaller than the sum of its proper divisors (49715204).

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

29340220 is a wasteful number, since it uses less digits than its factorization.

29340220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 29340220 is about 5416.6613333307. The cubic root of 29340220 is about 308.4284670325.

The spelling of 29340220 in words is "twenty-nine million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 49 52 65 70 91 94 98 130 140 182 188 196 235 245 260 329 343 364 455 470 490 611 637 658 686 910 940 980 1222 1274 1316 1372 1645 1715 1820 2303 2401 2444 2548 3055 3185 3290 3430 4277 4459 4606 4802 6110 6370 6580 6860 8554 8918 9212 9604 11515 12005 12220 12740 16121 17108 17836 21385 22295 23030 24010 29939 31213 32242 42770 44590 46060 48020 59878 62426 64484 80605 85540 89180 112847 119756 124852 149695 156065 161210 209573 225694 299390 312130 322420 419146 451388 564235 598780 624260 838292 1047865 1128470 1467011 2095730 2256940 2934022 4191460 5868044 7335055 14670110 29340220