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385274120 = 235711671867
BaseRepresentation
bin10110111101101…
…101000100001000
3222211221221201212
4112331231010020
51242112232440
6102121432252
712355530110
oct2675550410
9884857655
10385274120
11188528170
12a903b688
1361a8696a
1439250040
1523c55465
hex16f6d108

385274120 has 128 divisors (see below), whose sum is σ = 1097487360. Its totient is φ = 118229760.

The previous prime is 385274117. The next prime is 385274129. The reversal of 385274120 is 21472583.

It is a super-2 number, since 2×3852741202 = 296872295083548800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (385274129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205427 + ... + 207293.

It is an arithmetic number, because the mean of its divisors is an integer number (8574120).

Almost surely, 2385274120 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 385274120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548743680).

385274120 is an abundant number, since it is smaller than the sum of its proper divisors (712213240).

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

385274120 is a wasteful number, since it uses less digits than its factorization.

385274120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 385274120 is about 19628.4008518269. The cubic root of 385274120 is about 727.6512488479.

The spelling of 385274120 in words is "three hundred eighty-five million, two hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 67 70 77 88 110 134 140 154 220 268 280 308 335 385 440 469 536 616 670 737 770 938 1340 1474 1540 1867 1876 2345 2680 2948 3080 3685 3734 3752 4690 5159 5896 7370 7468 9335 9380 10318 13069 14740 14936 18670 18760 20537 20636 25795 26138 29480 37340 41074 41272 51590 52276 65345 74680 82148 102685 103180 104552 125089 130690 143759 164296 205370 206360 250178 261380 287518 410740 500356 522760 575036 625445 718795 821480 875623 1000712 1150072 1250890 1375979 1437590 1751246 2501780 2751958 2875180 3502492 4378115 5003560 5503916 5750360 6879895 7004984 8756230 9631853 11007832 13759790 17512460 19263706 27519580 35024920 38527412 48159265 55039160 77054824 96318530 192637060 385274120