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331664300 = 2252112937281
BaseRepresentation
bin10011110001001…
…100101110101100
3212010002021212222
4103301030232230
51134401224200
652524414512
711135046212
oct2361145654
9763067788
10331664300
11160241330
12930a7438
1353936486
1432096cb2
151e1b5d85
hex13c4cbac

331664300 has 144 divisors (see below), whose sum is σ = 837133920. Its totient is φ = 112896000.

The previous prime is 331664299. The next prime is 331664341. The reversal of 331664300 is 3466133.

It is a super-2 number, since 2×3316643002 = 220002415788980000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331664300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180160 + ... + 1180440.

It is an arithmetic number, because the mean of its divisors is an integer number (5813430).

Almost surely, 2331664300 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 331664300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418566960).

331664300 is an abundant number, since it is smaller than the sum of its proper divisors (505469620).

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

331664300 is a wasteful number, since it uses less digits than its factorization.

331664300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 331664300 is about 18211.6528629337. The cubic root of 331664300 is about 692.2020944036.

The spelling of 331664300 in words is "three hundred thirty-one million, six hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 37 44 50 55 58 74 100 110 116 145 148 185 220 275 281 290 319 370 407 550 562 580 638 725 740 814 925 1073 1100 1124 1276 1405 1450 1595 1628 1850 2035 2146 2810 2900 3091 3190 3700 4070 4292 5365 5620 6182 6380 7025 7975 8140 8149 10175 10397 10730 11803 12364 14050 15455 15950 16298 20350 20794 21460 23606 26825 28100 30910 31900 32596 40700 40745 41588 47212 51985 53650 59015 61820 77275 81490 89639 103970 107300 114367 118030 154550 162980 179278 203725 207940 228734 236060 259925 295075 301513 309100 358556 407450 448195 457468 519850 571835 590150 603026 814900 896390 1039700 1143670 1180300 1206052 1507565 1792780 2240975 2287340 2859175 3015130 3316643 4481950 5718350 6030260 6633286 7537825 8963900 11436700 13266572 15075650 16583215 30151300 33166430 66332860 82916075 165832150 331664300