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23444096 = 271373193
BaseRepresentation
bin101100101101…
…1101010000000
31122010002020212
41121123222000
522000202341
62154253252
7403162064
oct131335200
948102225
1023444096
1112262995
127a27228
134b1ac60
143183aa4
1520d15eb
hex165ba80

23444096 has 64 divisors (see below), whose sum is σ = 51250920. Its totient is φ = 10616832.

The previous prime is 23444089. The next prime is 23444131. The reversal of 23444096 is 69044432.

It can be written as a sum of positive squares in 4 ways, for example, as 13957696 + 9486400 = 3736^2 + 3080^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 121376 + ... + 121568.

Almost surely, 223444096 is an apocalyptic number.

23444096 is a gapful number since it is divisible by the number (26) 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 23444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25625460).

23444096 is an abundant number, since it is smaller than the sum of its proper divisors (27806824).

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

23444096 is a wasteful number, since it uses less digits than its factorization.

23444096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 23444096 is about 4841.9103667871. The cubic root of 23444096 is about 286.2054044675.

Adding to 23444096 its sum of digits (32), we get a triangular number (23444128 = T6847).

The spelling of 23444096 in words is "twenty-three million, four hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 193 208 292 386 416 584 772 832 949 1168 1544 1664 1898 2336 2509 3088 3796 4672 5018 6176 7592 9344 10036 12352 14089 15184 20072 24704 28178 30368 40144 56356 60736 80288 112712 121472 160576 183157 225424 321152 366314 450848 732628 901696 1465256 1803392 2930512 5861024 11722048 23444096