Search a number
-
+
13304214 = 23271129331
BaseRepresentation
bin110010110000…
…000110010110
3221000220221200
4302300012112
511401213324
61153053330
7221040540
oct62600626
927026850
1013304214
117567720
124557246
1329aa821
141aa4690
15127bec9
hexcb0196

13304214 has 96 divisors (see below), whose sum is σ = 37290240. Its totient is φ = 3326400.

The previous prime is 13304197. The next prime is 13304231. The reversal of 13304214 is 41240331.

13304214 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (13304197) and next prime (13304231).

It is a super-2 number, since 2×133042142 = 354004220315592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40029 + ... + 40359.

It is an arithmetic number, because the mean of its divisors is an integer number (388440).

Almost surely, 213304214 is an apocalyptic number.

13304214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13304214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18645120).

13304214 is an abundant number, since it is smaller than the sum of its proper divisors (23986026).

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

13304214 is a wasteful number, since it uses less digits than its factorization.

13304214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13304214 is about 3647.4942083573. The cubic root of 13304214 is about 236.9534705430.

Adding to 13304214 its reverse (41240331), we get a palindrome (54544545).

The spelling of 13304214 in words is "thirteen million, three hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 331 406 462 522 609 638 662 693 957 993 1218 1386 1827 1914 1986 2233 2317 2871 2979 3641 3654 4466 4634 5742 5958 6699 6951 7282 9599 10923 13398 13902 19198 20097 20853 21846 25487 28797 32769 40194 41706 50974 57594 65538 67193 76461 86391 105589 134386 152922 172782 201579 211178 229383 316767 403158 458766 604737 633534 739123 950301 1209474 1478246 1900602 2217369 4434738 6652107 13304214