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12034320 = 2435411223
BaseRepresentation
bin101101111010…
…000100010000
3211122101222120
4231322010100
511040044240
61105534240
7204201324
oct55720420
924571876
1012034320
11687a621
124044380
1326547cc
141853984
1510caad0
hexb7a110

12034320 has 80 divisors (see below), whose sum is σ = 38247552. Its totient is φ = 3128320.

The previous prime is 12034301. The next prime is 12034327. The reversal of 12034320 is 2343021.

12034320 = T235 + T236 + ... + T439.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12034320.

It is not an unprimeable number, because it can be changed into a prime (12034327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9229 + ... + 10451.

Almost surely, 212034320 is an apocalyptic number.

12034320 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 12034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776).

12034320 is an abundant number, since it is smaller than the sum of its proper divisors (26213232).

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

12034320 is a wasteful number, since it uses less digits than its factorization.

12034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 12034320 is about 3469.0517436325. The cubic root of 12034320 is about 229.1608996161.

Adding to 12034320 its reverse (2343021), we get a palindrome (14377341).

The spelling of 12034320 in words is "twelve million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1223 1230 1640 1968 2446 2460 3280 3669 4892 4920 6115 7338 9784 9840 12230 14676 18345 19568 24460 29352 36690 48920 50143 58704 73380 97840 100286 146760 150429 200572 250715 293520 300858 401144 501430 601716 752145 802288 1002860 1203432 1504290 2005720 2406864 3008580 4011440 6017160 12034320