Search a number
-
+
12904353 = 347112069
BaseRepresentation
bin110001001110…
…011110100001
3220021121110000
4301032132201
511300414403
61140330213
7214454010
oct61163641
926247400
1012904353
117314260
1243a3969
13289a817
1419dca77
1511ed7a3
hexc4e7a1

12904353 has 40 divisors (see below), whose sum is σ = 24045120. Its totient is φ = 6700320.

The previous prime is 12904349. The next prime is 12904369. The reversal of 12904353 is 35340921.

12904353 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12904353 - 22 = 12904349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12904313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5203 + ... + 7271.

It is an arithmetic number, because the mean of its divisors is an integer number (601128).

Almost surely, 212904353 is an apocalyptic number.

It is an amenable number.

12904353 is a deficient number, since it is larger than the sum of its proper divisors (11140767).

12904353 is a wasteful number, since it uses less digits than its factorization.

12904353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 12904353 is about 3592.2629358108. The cubic root of 12904353 is about 234.5553868895. Note that the first 3 decimals are identical.

The spelling of 12904353 in words is "twelve million, nine hundred four thousand, three hundred fifty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 297 567 693 891 2069 2079 6207 6237 14483 18621 22759 43449 55863 68277 130347 159313 167589 204831 391041 477939 614493 1173123 1433817 1843479 4301451 12904353