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11934312 = 23313291319
BaseRepresentation
bin101101100001…
…101001101000
3211110022210120
4231201221220
511023344222
61103443240
7203303625
oct55415150
924408716
1011934312
116811475
123bb6520
13261b130
14182934c
1510ab15c
hexb61a68

11934312 has 64 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 3542784.

The previous prime is 11934311. The next prime is 11934353. The reversal of 11934312 is 21343911.

It is a super-3 number, since 3×119343123 (a number of 22 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11934311) 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, 8389 + ... + 9707.

It is an arithmetic number, because the mean of its divisors is an integer number (519750).

Almost surely, 211934312 is an apocalyptic number.

11934312 is a gapful number since it is divisible by the number (12) 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 11934312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

11934312 is an abundant number, since it is smaller than the sum of its proper divisors (21329688).

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

11934312 is a wasteful number, since it uses less digits than its factorization.

11934312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 11934312 is about 3454.6073582970. The cubic root of 11934312 is about 228.5243395556.

It can be divided in two parts, 11934 and 312, that added together give a triangular number (12246 = T156).

The spelling of 11934312 in words is "eleven million, nine hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1319 1508 2262 2638 3016 3957 4524 5276 7914 9048 10552 15828 17147 31656 34294 38251 51441 68588 76502 102882 114753 137176 153004 205764 229506 306008 411528 459012 497263 918024 994526 1491789 1989052 2983578 3978104 5967156 11934312