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243693696 = 27319127263
BaseRepresentation
bin11101000011001…
…11100010000000
3121222112220220110
432201213202000
5444341144241
640103111320
76016235151
oct1641474200
9558486813
10243693696
11115616754
1269742540
133b64516c
1424517928
15165da816
hexe867880

243693696 has 128 divisors (see below), whose sum is σ = 689356800. Its totient is φ = 76059648.

The previous prime is 243693689. The next prime is 243693701. The reversal of 243693696 is 696396342.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (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 15 ways as a sum of consecutive naturals, for example, 926461 + ... + 926723.

It is an arithmetic number, because the mean of its divisors is an integer number (5385600).

Almost surely, 2243693696 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 243693696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344678400).

243693696 is an abundant number, since it is smaller than the sum of its proper divisors (445663104).

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

243693696 is a wasteful number, since it uses less digits than its factorization.

243693696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 48.

The square root of 243693696 is about 15610.6917207406. The cubic root of 243693696 is about 624.6183876293.

The spelling of 243693696 in words is "two hundred forty-three million, six hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 127 128 152 192 228 254 263 304 381 384 456 508 526 608 762 789 912 1016 1052 1216 1524 1578 1824 2032 2104 2413 2432 3048 3156 3648 4064 4208 4826 4997 6096 6312 7239 7296 8128 8416 9652 9994 12192 12624 14478 14991 16256 16832 19304 19988 24384 25248 28956 29982 33401 33664 38608 39976 48768 50496 57912 59964 66802 77216 79952 100203 100992 115824 119928 133604 154432 159904 200406 231648 239856 267208 308864 319808 400812 463296 479712 534416 634619 639616 801624 926592 959424 1068832 1269238 1603248 1903857 1918848 2137664 2538476 3206496 3807714 4275328 5076952 6412992 7615428 10153904 12825984 15230856 20307808 30461712 40615616 60923424 81231232 121846848 243693696