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414069168 = 24341210401
BaseRepresentation
bin11000101011100…
…011000110110000
31001212010220010010
4120223203012300
51322000203133
6105030534520
713155346512
oct3053430660
91055126103
10414069168
111a2805327
12b6807440
1367a29356
143cdc7bb2
1526542263
hex18ae31b0

414069168 has 40 divisors (see below), whose sum is σ = 1095773616. Its totient is φ = 134656000.

The previous prime is 414069157. The next prime is 414069169. The reversal of 414069168 is 861960414.

It is not an unprimeable number, because it can be changed into a prime (414069169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103233 + ... + 107168.

Almost surely, 2414069168 is an apocalyptic number.

414069168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

414069168 is an abundant number, since it is smaller than the sum of its proper divisors (681704448).

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

414069168 is a wasteful number, since it uses less digits than its factorization.

414069168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210453 (or 210447 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 414069168 is about 20348.6895892586. The cubic root of 414069168 is about 745.3454956521.

The spelling of 414069168 in words is "four hundred fourteen million, sixty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 210401 420802 631203 841604 1262406 1683208 2524812 3366416 5049624 8626441 10099248 17252882 25879323 34505764 51758646 69011528 103517292 138023056 207034584 414069168