Search a number
-
+
13434630 = 2351123701
BaseRepresentation
bin110011001111…
…111100000110
3221021112211220
4303033330012
511414402010
61155541210
7222123006
oct63177406
927245756
1013434630
117646700
1245ba806
132a24cb1
141ada006
1512a5970
hexccff06

13434630 has 48 divisors (see below), whose sum is σ = 35450352. Its totient is φ = 3256000.

The previous prime is 13434611. The next prime is 13434637. The reversal of 13434630 is 3643431.

It is a self number, because there is not a number n which added to its sum of digits gives 13434630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434637) 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, 1780 + ... + 5480.

It is an arithmetic number, because the mean of its divisors is an integer number (738549).

Almost surely, 213434630 is an apocalyptic number.

13434630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17725176).

13434630 is an abundant number, since it is smaller than the sum of its proper divisors (22015722).

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

13434630 is a wasteful number, since it uses less digits than its factorization.

13434630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 13434630 is about 3665.3280889983. The cubic root of 13434630 is about 237.7252083556.

The spelling of 13434630 in words is "thirteen million, four hundred thirty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 3701 7402 11103 18505 22206 37010 40711 55515 81422 111030 122133 203555 244266 407110 447821 610665 895642 1221330 1343463 2239105 2686926 4478210 6717315 13434630