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3812352 = 21031773
BaseRepresentation
bin1110100010110000000000
321011200120020
432202300000
51433443402
6213413440
744255505
oct16426000
97150506
103812352
112174305
12133a280
13a3633b
147134ac
155048bc
hex3a2c00

3812352 has 88 divisors (see below), whose sum is σ = 10906416. Its totient is φ = 1179648.

The previous prime is 3812309. The next prime is 3812357. The reversal of 3812352 is 2532183.

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 (3812357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52188 + ... + 52260.

Almost surely, 23812352 is an apocalyptic number.

3812352 is a gapful number since it is divisible by the number (32) 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 3812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453208).

3812352 is an abundant number, since it is smaller than the sum of its proper divisors (7094064).

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

3812352 is a wasteful number, since it uses less digits than its factorization.

3812352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 3812352 is about 1952.5245196924. The cubic root of 3812352 is about 156.2179727423.

The spelling of 3812352 in words is "three million, eight hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 73 96 102 128 136 146 192 204 219 256 272 292 384 408 438 512 544 584 768 816 876 1024 1088 1168 1241 1536 1632 1752 2176 2336 2482 3072 3264 3504 3723 4352 4672 4964 6528 7008 7446 8704 9344 9928 13056 14016 14892 17408 18688 19856 26112 28032 29784 37376 39712 52224 56064 59568 74752 79424 112128 119136 158848 224256 238272 317696 476544 635392 953088 1270784 1906176 3812352