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312330200 = 23527131312
BaseRepresentation
bin10010100111011…
…100011111011000
3210202201000111012
4102213130133120
51114424031300
650554153052
710511522450
oct2247343730
9722630435
10312330200
11150336336
1288722788
134c927190
142d6a2d60
151c647435
hex129dc7d8

312330200 has 144 divisors (see below), whose sum is σ = 900619440. Its totient is φ = 98092800.

The previous prime is 312330191. The next prime is 312330223. The reversal of 312330200 is 2033213.

312330200 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2384135 + ... + 2384265.

Almost surely, 2312330200 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 312330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450309720).

312330200 is an abundant number, since it is smaller than the sum of its proper divisors (588289240).

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

312330200 is a wasteful number, since it uses less digits than its factorization.

312330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 312330200 is about 17672.8662078340. The cubic root of 312330200 is about 678.4814730511.

Adding to 312330200 its reverse (2033213), we get a palindrome (314363413).

The spelling of 312330200 in words is "three hundred twelve million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 131 140 175 182 200 260 262 280 325 350 364 455 520 524 650 655 700 728 910 917 1048 1300 1310 1400 1703 1820 1834 2275 2600 2620 3275 3406 3640 3668 4550 4585 5240 6550 6812 7336 8515 9100 9170 11921 13100 13624 17030 17161 18200 18340 22925 23842 26200 34060 34322 36680 42575 45850 47684 59605 68120 68644 85150 85805 91700 95368 119210 120127 137288 170300 171610 183400 223093 238420 240254 298025 340600 343220 429025 446186 476840 480508 596050 600635 686440 858050 892372 961016 1115465 1192100 1201270 1561651 1716100 1784744 2230930 2384200 2402540 3003175 3123302 3432200 4461860 4805080 5577325 6006350 6246604 7808255 8923720 11154650 12012700 12493208 15616510 22309300 24025400 31233020 39041275 44618600 62466040 78082550 156165100 312330200