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129397338 = 2347216301
BaseRepresentation
bin1111011011001…
…11001001011010
3100000111001210000
413231213021122
5231111203323
620501233430
73130600500
oct755471132
9300431700
10129397338
1167050154
1237402876
1320a67395
1413284670
15b55ee43
hex7b6725a

129397338 has 60 divisors (see below), whose sum is σ = 337304682. Its totient is φ = 36968400.

The previous prime is 129397337. The next prime is 129397393. The reversal of 129397338 is 833793921.

It can be written as a sum of positive squares in only one way, i.e., 90497169 + 38900169 = 9513^2 + 6237^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 129397293 and 129397302.

It is not an unprimeable number, because it can be changed into a prime (129397337) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 213 + ... + 16088.

Almost surely, 2129397338 is an apocalyptic number.

129397338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129397338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168652341).

129397338 is an abundant number, since it is smaller than the sum of its proper divisors (207907344).

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

129397338 is a wasteful number, since it uses less digits than its factorization.

129397338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16329 (or 16313 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 129397338 is about 11375.2950730959. The cubic root of 129397338 is about 505.7956779982.

The spelling of 129397338 in words is "one hundred twenty-nine million, three hundred ninety-seven thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 16301 32602 48903 97806 114107 146709 228214 293418 342321 440127 684642 798749 880254 1026963 1320381 1597498 2053926 2396247 2640762 3080889 4792494 6161778 7188741 9242667 14377482 18485334 21566223 43132446 64698669 129397338