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14340978 = 2323761353
BaseRepresentation
bin110110101101…
…001101110010
3222222121010100
4312231031302
512132402403
61231213230
7232616301
oct66551562
928877110
1014340978
118105653
124977216
132c816b2
141c94438
1513d42a3
hexdad372

14340978 has 48 divisors (see below), whose sum is σ = 32526936. Its totient is φ = 4561920.

The previous prime is 14340971. The next prime is 14341001. The reversal of 14340978 is 87904341.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10870209 + 3470769 = 3297^2 + 1863^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14340971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40450 + ... + 40802.

Almost surely, 214340978 is an apocalyptic number.

14340978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14340978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16263468).

14340978 is an abundant number, since it is smaller than the sum of its proper divisors (18185958).

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

14340978 is a wasteful number, since it uses less digits than its factorization.

14340978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 14340978 is about 3786.9483756714. The cubic root of 14340978 is about 242.9552323159.

The spelling of 14340978 in words is "fourteen million, three hundred forty thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 37 61 74 111 122 183 222 333 353 366 549 666 706 1059 1098 2118 2257 3177 4514 6354 6771 13061 13542 20313 21533 26122 39183 40626 43066 64599 78366 117549 129198 193797 235098 387594 796721 1593442 2390163 4780326 7170489 14340978