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31200312 = 23311139091
BaseRepresentation
bin111011100000…
…1010000111000
32011201010210010
41313001100320
530441402222
63032421520
7526125003
oct167012070
964633703
1031200312
1116680290
12a5478a0
136605430
14420253a
152b1480c
hex1dc1438

31200312 has 64 divisors (see below), whose sum is σ = 91647360. Its totient is φ = 8726400.

The previous prime is 31200307. The next prime is 31200313. The reversal of 31200312 is 21300213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200313) 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 15 ways as a sum of consecutive naturals, for example, 1114 + ... + 7977.

It is an arithmetic number, because the mean of its divisors is an integer number (1431990).

Almost surely, 231200312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45823680).

31200312 is an abundant number, since it is smaller than the sum of its proper divisors (60447048).

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

31200312 is a wasteful number, since it uses less digits than its factorization.

31200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 31200312 is about 5585.7239459178. The cubic root of 31200312 is about 314.8132326967.

Adding to 31200312 its reverse (21300213), we get a palindrome (52500525).

Subtracting from 31200312 its reverse (21300213), we obtain a palindrome (9900099).

It can be divided in two parts, 31200 and 312, that multiplied together give a square (9734400 = 31202).

The spelling of 31200312 in words is "thirty-one million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 9091 18182 27273 36364 54546 72728 100001 109092 118183 200002 218184 236366 300003 354549 400004 472732 600006 709098 800008 945464 1200012 1300013 1418196 2400024 2600026 2836392 3900039 5200052 7800078 10400104 15600156 31200312