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12034440 = 23335111013
BaseRepresentation
bin101101111010…
…000110001000
3211122102011000
4231322012020
511040100230
61105535000
7204201555
oct55720610
924572130
1012034440
11687a720
124044460
132654892
141853a2c
1510cab60
hexb7a188

12034440 has 128 divisors (see below), whose sum is σ = 43804800. Its totient is φ = 2914560.

The previous prime is 12034439. The next prime is 12034441. The reversal of 12034440 is 4443021.

It is an interprime number because it is at equal distance from previous prime (12034439) and next prime (12034441).

It is a super-2 number, since 2×120344402 = 289655492227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034441) 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 31 ways as a sum of consecutive naturals, for example, 11374 + ... + 12386.

It is an arithmetic number, because the mean of its divisors is an integer number (342225).

Almost surely, 212034440 is an apocalyptic number.

12034440 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 12034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902400).

12034440 is an abundant number, since it is smaller than the sum of its proper divisors (31770360).

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

12034440 is a wasteful number, since it uses less digits than its factorization.

12034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12034440 is about 3469.0690393822. The cubic root of 12034440 is about 229.1616613048.

Adding to 12034440 its reverse (4443021), we get a palindrome (16477461).

The spelling of 12034440 in words is "twelve million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1013 1080 1188 1320 1485 1980 2026 2376 2970 3039 3960 4052 5065 5940 6078 8104 9117 10130 11143 11880 12156 15195 18234 20260 22286 24312 27351 30390 33429 36468 40520 44572 45585 54702 55715 60780 66858 72936 89144 91170 100287 109404 111430 121560 133716 136755 167145 182340 200574 218808 222860 267432 273510 300861 334290 364680 401148 445720 501435 547020 601722 668580 802296 1002870 1094040 1203444 1337160 1504305 2005740 2406888 3008610 4011480 6017220 12034440