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13430340 = 223357111719
BaseRepresentation
bin110011001110…
…111001000100
3221021022222000
4303032321010
511414232330
61155505300
7222104340
oct63167104
927238860
1013430340
117643460
1245b8230
132a23061
141ad8620
1512a4560
hexccee44

13430340 has 384 divisors, whose sum is σ = 58060800. Its totient is φ = 2488320.

The previous prime is 13430303. The next prime is 13430369. The reversal of 13430340 is 4303431.

13430340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 706851 + ... + 706869.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 213430340 is an apocalyptic number.

13430340 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 13430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

13430340 is an abundant number, since it is smaller than the sum of its proper divisors (44630460).

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

13430340 is a wasteful number, since it uses less digits than its factorization.

13430340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13430340 is about 3664.7428286307. The cubic root of 13430340 is about 237.6999018724.

Adding to 13430340 its reverse (4303431), we get a palindrome (17733771).

The spelling of 13430340 in words is "thirteen million, four hundred thirty thousand, three hundred forty".