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11734416 = 2433231181
BaseRepresentation
bin101100110000…
…110110010000
3211002011121000
4230300312100
511001000131
61055302000
7201512061
oct54606620
924064530
1011734416
116695271
123b1a900
13257b155
1417b6568
15106bce6
hexb30d90

11734416 has 80 divisors (see below), whose sum is σ = 35176320. Its totient is φ = 3738240.

The previous prime is 11734397. The next prime is 11734421. The reversal of 11734416 is 61443711.

It is a happy number.

It is a super-2 number, since 2×117344162 = 275393037722112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11734416.

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, 9346 + ... + 10526.

It is an arithmetic number, because the mean of its divisors is an integer number (439704).

Almost surely, 211734416 is an apocalyptic number.

11734416 is a gapful number since it is divisible by the number (16) 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 11734416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588160).

11734416 is an abundant number, since it is smaller than the sum of its proper divisors (23441904).

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

11734416 is a wasteful number, since it uses less digits than its factorization.

11734416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1209 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 11734416 is about 3425.5533859509. The cubic root of 11734416 is about 227.2412450744.

The spelling of 11734416 in words is "eleven million, seven hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1181 1242 1656 2362 2484 3312 3543 4724 4968 7086 9448 9936 10629 14172 18896 21258 27163 28344 31887 42516 54326 56688 63774 81489 85032 108652 127548 162978 170064 217304 244467 255096 325956 434608 488934 510192 651912 733401 977868 1303824 1466802 1955736 2933604 3911472 5867208 11734416