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14340120 = 2335731637
BaseRepresentation
bin110110101101…
…000000011000
3222222112221120
4312231000120
512132340440
61231205240
7232613634
oct66550030
928875846
1014340120
118104a43
124976820
132c811a2
141c93dc4
1513d3dd0
hexdad018

14340120 has 64 divisors (see below), whose sum is σ = 43636320. Its totient is φ = 3769344.

The previous prime is 14340107. The next prime is 14340133. The reversal of 14340120 is 2104341.

It is an interprime number because it is at equal distance from previous prime (14340107) and next prime (14340133).

It is a super-2 number, since 2×143401202 = 411278083228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14340120.

It is a congruent number.

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, 7942 + ... + 9578.

Almost surely, 214340120 is an apocalyptic number.

14340120 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 14340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818160).

14340120 is an abundant number, since it is smaller than the sum of its proper divisors (29296200).

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

14340120 is a wasteful number, since it uses less digits than its factorization.

14340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14340120 is about 3786.8350901511. The cubic root of 14340120 is about 242.9503869991.

Adding to 14340120 its reverse (2104341), we get a palindrome (16444461).

The spelling of 14340120 in words is "fourteen million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1637 1752 2190 2920 3274 4380 4911 6548 8185 8760 9822 13096 16370 19644 24555 32740 39288 49110 65480 98220 119501 196440 239002 358503 478004 597505 717006 956008 1195010 1434012 1792515 2390020 2868024 3585030 4780040 7170060 14340120