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29980314 = 2337136101
BaseRepresentation
bin111001001011…
…1011010011010
32002102011021000
41302113122122
530133332224
62550325430
7512554110
oct162273232
962364230
1029980314
1115a17721
12a059876
136299040
143da5ab0
1529730c9
hex1c9769a

29980314 has 64 divisors (see below), whose sum is σ = 82010880. Its totient is φ = 7905600.

The previous prime is 29980277. The next prime is 29980373. The reversal of 29980314 is 41308992.

It is a Curzon 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, 1864 + ... + 7964.

It is an arithmetic number, because the mean of its divisors is an integer number (1281420).

Almost surely, 229980314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29980314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41005440).

29980314 is an abundant number, since it is smaller than the sum of its proper divisors (52030566).

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

29980314 is a wasteful number, since it uses less digits than its factorization.

29980314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6132 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 29980314 is about 5475.4282024331. The cubic root of 29980314 is about 310.6552701913.

The spelling of 29980314 in words is "twenty-nine million, nine hundred eighty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 6101 12202 18303 36606 42707 54909 79313 85414 109818 128121 158626 164727 237939 256242 329454 384363 475878 555191 713817 768726 1110382 1153089 1427634 1665573 2141451 2306178 3331146 4282902 4996719 9993438 14990157 29980314