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385124280 = 233513124499
BaseRepresentation
bin10110111101001…
…000011110111000
3222211200100012020
4112331020132320
51242042434110
6102114314440
712354334212
oct2675103670
9884610166
10385124280
11188435632
12a8b88a20
1361a336b8
14392115b2
1523c25d70
hex16f487b8

385124280 has 64 divisors (see below), whose sum is σ = 1164240000. Its totient is φ = 101911680.

The previous prime is 385124279. The next prime is 385124287. The reversal of 385124280 is 82421583.

It is a super-2 number, since 2×3851242802 = 296641422091036800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385124287) 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, 3471 + ... + 27969.

It is an arithmetic number, because the mean of its divisors is an integer number (18191250).

Almost surely, 2385124280 is an apocalyptic number.

385124280 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 385124280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582120000).

385124280 is an abundant number, since it is smaller than the sum of its proper divisors (779115720).

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

385124280 is a wasteful number, since it uses less digits than its factorization.

385124280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24644 (or 24640 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 385124280 is about 19624.5835624606. The cubic root of 385124280 is about 727.5569044186.

The spelling of 385124280 in words is "three hundred eighty-five million, one hundred twenty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 24499 48998 73497 97996 122495 146994 195992 244990 293988 367485 489980 587976 734970 979960 1469940 2939880 3209369 6418738 9628107 12837476 16046845 19256214 25674952 32093690 38512428 48140535 64187380 77024856 96281070 128374760 192562140 385124280