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385037760 = 26351723593
BaseRepresentation
bin10110111100110…
…011010111000000
3222211111221111210
4112330303113000
51242032202020
6102112410120
712353524032
oct2674632700
9884457453
10385037760
11188386628
12a8b46940
1361a031c3
14391cbc52
1523c0a3e0
hex16f335c0

385037760 has 112 divisors (see below), whose sum is σ = 1294461216. Its totient is φ = 96632832.

The previous prime is 385037713. The next prime is 385037761. The reversal of 385037760 is 67730583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385037761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4524 + ... + 28116.

Almost surely, 2385037760 is an apocalyptic number.

385037760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647230608).

385037760 is an abundant number, since it is smaller than the sum of its proper divisors (909423456).

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

385037760 is a wasteful number, since it uses less digits than its factorization.

385037760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23630 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 385037760 is about 19622.3790606542. The cubic root of 385037760 is about 727.5024172993.

The spelling of 385037760 in words is "three hundred eighty-five million, thirty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 23593 47186 70779 94372 117965 141558 188744 235930 283116 353895 377488 401081 471860 566232 707790 754976 802162 943720 1132464 1203243 1415580 1509952 1604324 1887440 2005405 2264928 2406486 2831160 3208648 3774880 4010810 4529856 4812972 5662320 6016215 6417296 7549760 8021620 9625944 11324640 12032430 12834592 16043240 19251888 22649280 24064860 25669184 32086480 38503776 48129720 64172960 77007552 96259440 128345920 192518880 385037760