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14434440 = 2335373251
BaseRepresentation
bin110111000100…
…000010001000
31000011100022220
4313010002020
512143400230
61233214040
7233455626
oct67040210
930140286
1014434440
118169899
124a01320
132cb50b7
141cba516
151401d10
hexdc4088

14434440 has 64 divisors (see below), whose sum is σ = 44487360. Its totient is φ = 3744000.

The previous prime is 14434429. The next prime is 14434463. The reversal of 14434440 is 4443441.

It is a super-2 number, since 2×144344402 = 416706116227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14434440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2815 + ... + 6065.

It is an arithmetic number, because the mean of its divisors is an integer number (695115).

Almost surely, 214434440 is an apocalyptic number.

14434440 is a gapful number since it is divisible by the number (10) 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 14434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22243680).

14434440 is an abundant number, since it is smaller than the sum of its proper divisors (30052920).

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

14434440 is a wasteful number, since it uses less digits than its factorization.

14434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 14434440 is about 3799.2683506170. The cubic root of 14434440 is about 243.4818800667.

Adding to 14434440 its reverse (4443441), we get a palindrome (18877881).

Subtracting from 14434440 its reverse (4443441), we obtain a palindrome (9990999).

The spelling of 14434440 in words is "fourteen million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 3251 4440 6502 9753 13004 16255 19506 26008 32510 39012 48765 65020 78024 97530 120287 130040 195060 240574 360861 390120 481148 601435 721722 962296 1202870 1443444 1804305 2405740 2886888 3608610 4811480 7217220 14434440