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318729104 = 24193121091
BaseRepresentation
bin10010111111110…
…110101110010000
3211012202010010122
4102333312232100
51123043312404
651343245412
710620103241
oct2277665620
9735663118
10318729104
11153a06991
128a8a9868
1351057905
143048acc8
151cead3be
hex12ff6b90

318729104 has 60 divisors (see below), whose sum is σ = 672300720. Its totient is φ = 145972800.

The previous prime is 318729083. The next prime is 318729109. The reversal of 318729104 is 401927813.

318729104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (318729109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291599 + ... + 292689.

It is an arithmetic number, because the mean of its divisors is an integer number (11205012).

Almost surely, 2318729104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318729104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336150360).

318729104 is an abundant number, since it is smaller than the sum of its proper divisors (353571616).

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

318729104 is a wasteful number, since it uses less digits than its factorization.

318729104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 318729104 is about 17852.9858567132. The cubic root of 318729104 is about 683.0836766089.

The spelling of 318729104 in words is "three hundred eighteen million, seven hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 961 1091 1178 1922 2182 2356 3844 4364 4712 7688 8728 9424 15376 17456 18259 20729 33821 36518 41458 67642 73036 82916 135284 146072 165832 270568 292144 331664 541136 642599 1048451 1285198 2096902 2570396 4193804 5140792 8387608 10281584 16775216 19920569 39841138 79682276 159364552 318729104