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12984345 = 32511171543
BaseRepresentation
bin110001100010…
…000000011001
3220102200011200
4301202000121
511310444340
61142144413
7215236143
oct61420031
926380150
1012984345
117369370
124422109
1328c805a
141a1dc93
151217330
hexc62019

12984345 has 48 divisors (see below), whose sum is σ = 26013312. Its totient is φ = 5921280.

The previous prime is 12984329. The next prime is 12984347. The reversal of 12984345 is 54348921.

It is not a de Polignac number, because 12984345 - 24 = 12984329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12984347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7644 + ... + 9186.

It is an arithmetic number, because the mean of its divisors is an integer number (541944).

Almost surely, 212984345 is an apocalyptic number.

12984345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12984345 is an abundant number, since it is smaller than the sum of its proper divisors (13028967).

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

12984345 is a wasteful number, since it uses less digits than its factorization.

12984345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1579 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12984345 is about 3603.3796635936. The cubic root of 12984345 is about 235.0390458736.

The spelling of 12984345 in words is "twelve million, nine hundred eighty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1543 1683 2805 4629 7715 8415 13887 16973 23145 26231 50919 69435 78693 84865 131155 152757 236079 254595 288541 393465 763785 865623 1180395 1442705 2596869 4328115 12984345