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29048340 = 22351983307
BaseRepresentation
bin110111011001…
…1111000010100
32000122210211110
41232303320110
524414021330
62514335020
7501623016
oct156637024
960583743
1029048340
11154404a2
12988a470
136030a89
143c021b6
15283bdb0
hex1bb3e14

29048340 has 96 divisors (see below), whose sum is σ = 86929920. Its totient is φ = 7226496.

The previous prime is 29048339. The next prime is 29048351. The reversal of 29048340 is 4384092.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29048298 and 29048307.

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, 94467 + ... + 94773.

It is an arithmetic number, because the mean of its divisors is an integer number (905520).

Almost surely, 229048340 is an apocalyptic number.

29048340 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 29048340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43464960).

29048340 is an abundant number, since it is smaller than the sum of its proper divisors (57881580).

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

29048340 is a wasteful number, since it uses less digits than its factorization.

29048340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 29048340 is about 5389.6511946507. The cubic root of 29048340 is about 307.4022956163.

The spelling of 29048340 in words is "twenty-nine million, forty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 83 95 114 166 190 228 249 285 307 332 380 415 498 570 614 830 921 996 1140 1228 1245 1535 1577 1660 1842 2490 3070 3154 3684 4605 4731 4980 5833 6140 6308 7885 9210 9462 11666 15770 17499 18420 18924 23332 23655 25481 29165 31540 34998 47310 50962 58330 69996 76443 87495 94620 101924 116660 127405 152886 174990 254810 305772 349980 382215 484139 509620 764430 968278 1452417 1528860 1936556 2420695 2904834 4841390 5809668 7262085 9682780 14524170 29048340