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11355344 = 2471113709
BaseRepresentation
bin101011010100…
…010011010000
3210100220121022
4223110103100
510401332334
61043215012
7165342650
oct53242320
923326538
1011355344
116456490
123977468
132477750
141718360
15ee482e
hexad44d0

11355344 has 80 divisors (see below), whose sum is σ = 29581440. Its totient is φ = 4078080.

The previous prime is 11355301. The next prime is 11355349. The reversal of 11355344 is 44355311.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15662 + ... + 16370.

It is an arithmetic number, because the mean of its divisors is an integer number (369768).

Almost surely, 211355344 is an apocalyptic number.

11355344 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 11355344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790720).

11355344 is an abundant number, since it is smaller than the sum of its proper divisors (18226096).

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

11355344 is a wasteful number, since it uses less digits than its factorization.

11355344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 11355344 is about 3369.7691315578. The cubic root of 11355344 is about 224.7674568630.

The spelling of 11355344 in words is "eleven million, three hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 709 728 1001 1144 1232 1418 1456 2002 2288 2836 4004 4963 5672 7799 8008 9217 9926 11344 15598 16016 18434 19852 31196 36868 39704 54593 62392 64519 73736 79408 101387 109186 124784 129038 147472 202774 218372 258076 405548 436744 516152 709709 811096 873488 1032304 1419418 1622192 2838836 5677672 11355344