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14354368 = 2671792
BaseRepresentation
bin110110110000…
…011111000000
31000000021111021
4312300133000
512133314433
61231355224
7233003320
oct66603700
930007437
1014354368
118114716
124982b14
132c87812
141c99280
1513d822d
hexdb07c0

14354368 has 42 divisors (see below), whose sum is σ = 32736536. Its totient is φ = 6117504.

The previous prime is 14354359. The next prime is 14354381. The reversal of 14354368 is 86345341.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80103 + ... + 80281.

Almost surely, 214354368 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 14354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368268).

14354368 is an abundant number, since it is smaller than the sum of its proper divisors (18382168).

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

14354368 is an frugal number, since it uses more digits than its factorization.

14354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 188 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 14354368 is about 3788.7158774445. The cubic root of 14354368 is about 243.0308235948.

The spelling of 14354368 in words is "fourteen million, three hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 179 224 358 448 716 1253 1432 2506 2864 5012 5728 10024 11456 20048 32041 40096 64082 80192 128164 224287 256328 448574 512656 897148 1025312 1794296 2050624 3588592 7177184 14354368