Search a number
-
+
14346040 = 2355367101
BaseRepresentation
bin110110101110…
…011100111000
3222222212001211
4312232130320
512133033130
61231252504
7232640122
oct66563470
928885054
1014346040
118109435
12497a134
132c83aa7
141c96212
1513d5a2a
hexdae738

14346040 has 64 divisors (see below), whose sum is σ = 33708960. Its totient is φ = 5491200.

The previous prime is 14346029. The next prime is 14346049. The reversal of 14346040 is 4064341.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14346049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141990 + ... + 142090.

Almost surely, 214346040 is an apocalyptic number.

14346040 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 14346040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854480).

14346040 is an abundant number, since it is smaller than the sum of its proper divisors (19362920).

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

14346040 is a wasteful number, since it uses less digits than its factorization.

14346040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 14346040 is about 3787.6166648699. The cubic root of 14346040 is about 242.9838146231.

The spelling of 14346040 in words is "fourteen million, three hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 67 101 106 134 202 212 265 268 335 404 424 505 530 536 670 808 1010 1060 1340 2020 2120 2680 3551 4040 5353 6767 7102 10706 13534 14204 17755 21412 26765 27068 28408 33835 35510 42824 53530 54136 67670 71020 107060 135340 142040 214120 270680 358651 717302 1434604 1793255 2869208 3586510 7173020 14346040