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385144470 = 23453771181
BaseRepresentation
bin10110111101001…
…101011010010110
3222211201100220000
4112331031122112
51242044110340
6102114552130
712354450114
oct2675153226
9884640800
10385144470
11188449817
12a8b98646
1361a3c949
1439218ab4
1523c2bd30
hex16f4d696

385144470 has 160 divisors (see below), whose sum is σ = 1084539456. Its totient is φ = 97977600.

The previous prime is 385144373. The next prime is 385144493. The reversal of 385144470 is 74441583.

385144470 is a `hidden beast` number, since 38 + 514 + 44 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2127780 + ... + 2127960.

Almost surely, 2385144470 is an apocalyptic number.

385144470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385144470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542269728).

385144470 is an abundant number, since it is smaller than the sum of its proper divisors (699394986).

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

385144470 is a wasteful number, since it uses less digits than its factorization.

385144470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 385144470 is about 19625.0979615389. The cubic root of 385144470 is about 727.5696181650.

The spelling of 385144470 in words is "three hundred eighty-five million, one hundred forty-four thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 71 74 81 90 111 135 142 162 181 185 213 222 270 333 355 362 370 405 426 543 555 639 666 710 810 905 999 1065 1086 1110 1278 1629 1665 1810 1917 1998 2130 2627 2715 2997 3195 3258 3330 3834 4887 4995 5254 5430 5751 5994 6390 6697 7881 8145 9585 9774 9990 11502 12851 13135 13394 14661 14985 15762 16290 19170 20091 23643 24435 25702 26270 28755 29322 29970 33485 38553 39405 40182 47286 48870 57510 60273 64255 66970 70929 73305 77106 78810 100455 115659 118215 120546 128510 141858 146610 180819 192765 200910 212787 231318 236430 301365 346977 354645 361638 385530 425574 475487 542457 578295 602730 693954 709290 904095 950974 1040931 1063935 1084914 1156590 1426461 1734885 1808190 2081862 2127870 2377435 2712285 2852922 3469770 4279383 4754870 5204655 5424570 7132305 8558766 10409310 12838149 14264610 21396915 25676298 38514447 42793830 64190745 77028894 128381490 192572235 385144470