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23441664 = 283131233
BaseRepresentation
bin101100101101…
…1000100000000
31122002221220210
41121123010000
522000113124
62154234120
7403152021
oct131330400
948087823
1023441664
1112261084
127a25940
134b19b0c
143182c48
1520d0a29
hex165b100

23441664 has 72 divisors (see below), whose sum is σ = 63135072. Its totient is φ = 7720960.

The previous prime is 23441651. The next prime is 23441689. The reversal of 23441664 is 46614432.

23441664 = T327 + T328 + ... + T559.

It is a super-2 number, since 2×234416642 = 1099023222177792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100492 + ... + 100724.

It is an arithmetic number, because the mean of its divisors is an integer number (876876).

Almost surely, 223441664 is an apocalyptic number.

23441664 is a gapful number since it is divisible by the number (24) 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 23441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31567536).

23441664 is an abundant number, since it is smaller than the sum of its proper divisors (39693408).

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

23441664 is a wasteful number, since it uses less digits than its factorization.

23441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 23441664 is about 4841.6592197304. The cubic root of 23441664 is about 286.1955075107.

The spelling of 23441664 in words is "twenty-three million, four hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 233 256 262 384 393 466 524 699 768 786 932 1048 1398 1572 1864 2096 2796 3144 3728 4192 5592 6288 7456 8384 11184 12576 14912 16768 22368 25152 29824 30523 33536 44736 50304 59648 61046 89472 91569 100608 122092 178944 183138 244184 366276 488368 732552 976736 1465104 1953472 2930208 3906944 5860416 7813888 11720832 23441664