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18685344 = 2531511289
BaseRepresentation
bin100011101000…
…1110110100000
31022011022110210
41013101312200
514240412334
61504254120
7314552136
oct107216640
938138423
1018685344
11a602637
126311340
133b42c22
1426a5756
1519915e9
hex11d1da0

18685344 has 48 divisors (see below), whose sum is σ = 49412160. Its totient is φ = 6182400.

The previous prime is 18685327. The next prime is 18685351. The reversal of 18685344 is 44358681.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13852 + ... + 15140.

It is an arithmetic number, because the mean of its divisors is an integer number (1029420).

Almost surely, 218685344 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 18685344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24706080).

18685344 is an abundant number, since it is smaller than the sum of its proper divisors (30726816).

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

18685344 is a wasteful number, since it uses less digits than its factorization.

18685344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1445 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 18685344 is about 4322.6547398561. The cubic root of 18685344 is about 265.3589250558.

The spelling of 18685344 in words is "eighteen million, six hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1289 1812 2416 2578 3624 3867 4832 5156 7248 7734 10312 14496 15468 20624 30936 41248 61872 123744 194639 389278 583917 778556 1167834 1557112 2335668 3114224 4671336 6228448 9342672 18685344