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385476700 = 2252717291117
BaseRepresentation
bin10110111110011…
…110100001011100
3222212100020121211
4112332132201130
51242140223300
6102130034204
712360332530
oct2676364134
9885306554
10385476700
11188656394
12a9118964
1361b27c2b
14392a3bc0
1523c954ba
hex16f9e85c

385476700 has 144 divisors (see below), whose sum is σ = 1048057920. Its totient is φ = 119992320.

The previous prime is 385476691. The next prime is 385476709. The reversal of 385476700 is 7674583.

It is an interprime number because it is at equal distance from previous prime (385476691) and next prime (385476709).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385476709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344542 + ... + 345658.

It is an arithmetic number, because the mean of its divisors is an integer number (7278180).

Almost surely, 2385476700 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 385476700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524028960).

385476700 is an abundant number, since it is smaller than the sum of its proper divisors (662581220).

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

385476700 is a wasteful number, since it uses less digits than its factorization.

385476700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 385476700 is about 19633.5605532975. The cubic root of 385476700 is about 727.7787613158.

The spelling of 385476700 in words is "three hundred eighty-five million, four hundred seventy-six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 29 34 35 50 58 68 70 85 100 116 119 140 145 170 175 203 238 290 340 350 406 425 476 493 580 595 700 725 812 850 986 1015 1117 1190 1450 1700 1972 2030 2234 2380 2465 2900 2975 3451 4060 4468 4930 5075 5585 5950 6902 7819 9860 10150 11170 11900 12325 13804 15638 17255 18989 20300 22340 24650 27925 31276 32393 34510 37978 39095 49300 55850 64786 69020 75956 78190 86275 94945 111700 129572 132923 156380 161965 172550 189890 195475 226751 265846 323930 345100 379780 390950 453502 474725 531692 550681 647860 664615 781900 809825 907004 949450 1101362 1133755 1329230 1619650 1898900 2202724 2267510 2658460 2753405 3239300 3323075 3854767 4535020 5506810 5668775 6646150 7709534 11013620 11337550 13292300 13767025 15419068 19273835 22675100 27534050 38547670 55068100 77095340 96369175 192738350 385476700