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11385348 = 22313591237
BaseRepresentation
bin101011011011…
…101000000100
3210102102202120
4223123220010
510403312343
61044005540
7165526302
oct53335004
923372676
1011385348
116476a87
1239908b0
1324882c0
141725272
15eed683
hexadba04

11385348 has 48 divisors (see below), whose sum is σ = 29117760. Its totient is φ = 3441024.

The previous prime is 11385343. The next prime is 11385379. The reversal of 11385348 is 84358311.

It is a super-2 number, since 2×113853482 = 259252298162208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11385343) by changing a digit.

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, 8586 + ... + 9822.

It is an arithmetic number, because the mean of its divisors is an integer number (606620).

Almost surely, 211385348 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 11385348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558880).

11385348 is an abundant number, since it is smaller than the sum of its proper divisors (17732412).

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

11385348 is a wasteful number, since it uses less digits than its factorization.

11385348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1314 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 11385348 is about 3374.2181316566. The cubic root of 11385348 is about 224.9652489540.

The spelling of 11385348 in words is "eleven million, three hundred eighty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1237 1534 2301 2474 3068 3711 4602 4948 7422 9204 14844 16081 32162 48243 64324 72983 96486 145966 192972 218949 291932 437898 875796 948779 1897558 2846337 3795116 5692674 11385348