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385166144 = 26111732183
BaseRepresentation
bin10110111101010…
…010101101000000
3222211202110121202
4112331102231000
51242100304034
6102115240332
712354600236
oct2675225500
9884673552
10385166144
11188464030
12a8ba90a8
1361a4977c
1439222956
1523c3347e
hex16f52b40

385166144 has 56 divisors (see below), whose sum is σ = 882871488. Its totient is φ = 164771840.

The previous prime is 385166137. The next prime is 385166147. The reversal of 385166144 is 441661583.

It is a junction number, because it is equal to n+sod(n) for n = 385166098 and 385166107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385166147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4124 + ... + 28059.

Almost surely, 2385166144 is an apocalyptic number.

385166144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

385166144 is an abundant number, since it is smaller than the sum of its proper divisors (497705344).

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

385166144 is a wasteful number, since it uses less digits than its factorization.

385166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32223 (or 32213 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 385166144 is about 19625.6501548356. The cubic root of 385166144 is about 727.5832658992.

The spelling of 385166144 in words is "three hundred eighty-five million, one hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 32183 64366 128732 257464 354013 514928 547111 708026 1029856 1094222 1416052 2059712 2188444 2832104 4376888 5664208 6018221 8753776 11328416 12036442 17507552 22656832 24072884 35015104 48145768 96291536 192583072 385166144