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69144384 = 2633111617
BaseRepresentation
bin1000001111100…
…00111101000000
311211002220021010
410013300331000
5120200110014
610510000520
71466501061
oct407607500
9154086233
1069144384
1136037221
121b1a6140
131142c24a
14927c568
15610c359
hex41f0f40

69144384 has 56 divisors (see below), whose sum is σ = 188862208. Its totient is φ = 22302720.

The previous prime is 69144377. The next prime is 69144419. The reversal of 69144384 is 48344196.

It is a happy number.

It is a congruent number.

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, 144 + ... + 11760.

Almost surely, 269144384 is an apocalyptic number.

69144384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94431104).

69144384 is an abundant number, since it is smaller than the sum of its proper divisors (119717824).

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

69144384 is a wasteful number, since it uses less digits than its factorization.

69144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11663 (or 11653 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 69144384 is about 8315.3102167027. The cubic root of 69144384 is about 410.4424808497.

It can be divided in two parts, 69 and 144384, that added together give a triangular number (144453 = T537).

The spelling of 69144384 in words is "sixty-nine million, one hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 11617 23234 34851 46468 69702 92936 139404 185872 278808 360127 371744 557616 720254 743488 1080381 1115232 1440508 2160762 2230464 2881016 4321524 5762032 8643048 11524064 17286096 23048128 34572192 69144384