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11334440 = 2351371307
BaseRepresentation
bin101011001111…
…001100101000
3210022211221002
4223033030220
510400200230
61042534132
7165225005
oct53171450
923284832
1011334440
116441807
123967348
13246b090
1417108ac
15edd545
hexacf328

11334440 has 64 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 4112640.

The previous prime is 11334419. The next prime is 11334467. The reversal of 11334440 is 4443311.

It is a happy number.

11334440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113344402 = 256939060227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 36767 + ... + 37073.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 211334440 is an apocalyptic number.

11334440 is a gapful number since it is divisible by the number (10) 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 11334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

11334440 is an abundant number, since it is smaller than the sum of its proper divisors (16607320).

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

11334440 is a wasteful number, since it uses less digits than its factorization.

11334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 11334440 is about 3366.6660066006. Note that the first 3 decimals coincide. The cubic root of 11334440 is about 224.6294476859.

Adding to 11334440 its reverse (4443311), we get a palindrome (15777751).

The spelling of 11334440 in words is "eleven million, three hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 307 355 520 568 614 710 923 1228 1420 1535 1846 2456 2840 3070 3692 3991 4615 6140 7384 7982 9230 12280 15964 18460 19955 21797 31928 36920 39910 43594 79820 87188 108985 159640 174376 217970 283361 435940 566722 871880 1133444 1416805 2266888 2833610 5667220 11334440