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14374256 = 2413292383
BaseRepresentation
bin110110110101…
…010101110000
31000001021202212
4312311111300
512134434011
61232031252
7233115311
oct66652560
930037685
1014374256
118128656
124992528
132c938a0
141ca2608
1513de08b
hexdb5570

14374256 has 40 divisors (see below), whose sum is σ = 31039680. Its totient is φ = 6402816.

The previous prime is 14374253. The next prime is 14374259. The reversal of 14374256 is 65247341.

It is an interprime number because it is at equal distance from previous prime (14374253) and next prime (14374259).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14374253) 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, 4841 + ... + 7223.

It is an arithmetic number, because the mean of its divisors is an integer number (775992).

Almost surely, 214374256 is an apocalyptic number.

14374256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14374256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519840).

14374256 is an abundant number, since it is smaller than the sum of its proper divisors (16665424).

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

14374256 is a wasteful number, since it uses less digits than its factorization.

14374256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2427 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 14374256 is about 3791.3396049418. The cubic root of 14374256 is about 243.1430116644.

The spelling of 14374256 in words is "fourteen million, three hundred seventy-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 2383 3016 4766 6032 9532 19064 30979 38128 61958 69107 123916 138214 247832 276428 495664 552856 898391 1105712 1796782 3593564 7187128 14374256