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11344704 = 263723367
BaseRepresentation
bin101011010001…
…101101000000
3210100101000020
4223101231000
510401012304
61043053440
7165266640
oct53215500
923311006
1011344704
116449498
123971280
132472957
141714520
15ee15d9
hexad1b40

11344704 has 112 divisors (see below), whose sum is σ = 35893248. Its totient is φ = 3091968.

The previous prime is 11344693. The next prime is 11344717. The reversal of 11344704 is 40744311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30729 + ... + 31095.

Almost surely, 211344704 is an apocalyptic number.

11344704 is a gapful number since it is divisible by the number (14) 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 11344704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17946624).

11344704 is an abundant number, since it is smaller than the sum of its proper divisors (24548544).

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

11344704 is a wasteful number, since it uses less digits than its factorization.

11344704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 11344704 is about 3368.1900183927. The cubic root of 11344704 is about 224.6972322743.

The spelling of 11344704 in words is "eleven million, three hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 367 368 448 483 552 644 672 734 736 966 1101 1104 1288 1344 1468 1472 1932 2202 2208 2569 2576 2936 3864 4404 4416 5138 5152 5872 7707 7728 8441 8808 10276 10304 11744 15414 15456 16882 17616 20552 23488 25323 30828 30912 33764 35232 41104 50646 59087 61656 67528 70464 82208 101292 118174 123312 135056 164416 177261 202584 236348 246624 270112 354522 405168 472696 493248 540224 709044 810336 945392 1418088 1620672 1890784 2836176 3781568 5672352 11344704