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13416348 = 22311374167
BaseRepresentation
bin110011001011…
…011110011100
3221020121202210
4303023132130
511413310343
61155320420
7222015501
oct63133634
927217683
1013416348
1176339a0
1245b0110
132a1988a
141ad34a8
1512a0333
hexccb79c

13416348 has 96 divisors (see below), whose sum is σ = 36465408. Its totient is φ = 3801600.

The previous prime is 13416341. The next prime is 13416457. The reversal of 13416348 is 84361431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13416341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200211 + ... + 200277.

It is an arithmetic number, because the mean of its divisors is an integer number (379848).

Almost surely, 213416348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13416348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232704).

13416348 is an abundant number, since it is smaller than the sum of its proper divisors (23049060).

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

13416348 is a wasteful number, since it uses less digits than its factorization.

13416348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 13416348 is about 3662.8333295415. The cubic root of 13416348 is about 237.6173263335.

Adding to 13416348 its reverse (84361431), we get a palindrome (97777779).

The spelling of 13416348 in words is "thirteen million, four hundred sixteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 41 44 66 67 74 82 111 123 132 134 148 164 201 222 246 268 402 407 444 451 492 737 804 814 902 1221 1353 1474 1517 1628 1804 2211 2442 2479 2706 2747 2948 3034 4422 4551 4884 4958 5412 5494 6068 7437 8241 8844 9102 9916 10988 14874 16482 16687 18204 27269 29748 30217 32964 33374 50061 54538 60434 66748 81807 90651 100122 101639 109076 120868 163614 181302 200244 203278 304917 327228 362604 406556 609834 1118029 1219668 2236058 3354087 4472116 6708174 13416348