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385214130 = 2345767939
BaseRepresentation
bin10110111101011…
…110011010110010
3222211211220110000
4112331132122302
51242103323010
6102120250430
712355160160
oct2675363262
9884756400
10385214130
11188497094
12a9010a16
1361a65572
1439236230
1523c427c0
hex16f5e6b2

385214130 has 80 divisors (see below), whose sum is σ = 1183786560. Its totient is φ = 88047648.

The previous prime is 385214107. The next prime is 385214173. The reversal of 385214130 is 31412583.

It is a happy number.

385214130 is a `hidden beast` number, since 3 + 8 + 521 + 4 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 385214094 and 385214103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28300 + ... + 39639.

It is an arithmetic number, because the mean of its divisors is an integer number (14797332).

Almost surely, 2385214130 is an apocalyptic number.

385214130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

385214130 is an abundant number, since it is smaller than the sum of its proper divisors (798572430).

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

385214130 is a wasteful number, since it uses less digits than its factorization.

385214130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67965 (or 67956 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 385214130 is about 19626.8726495079. The cubic root of 385214130 is about 727.6134800127.

The spelling of 385214130 in words is "three hundred eighty-five million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 67939 135878 203817 339695 407634 475573 611451 679390 951146 1019085 1222902 1426719 1834353 2038170 2377865 2853438 3057255 3668706 4280157 4755730 5503059 6114510 7133595 8560314 9171765 11006118 12840471 14267190 18343530 21400785 25680942 27515295 38521413 42801570 55030590 64202355 77042826 128404710 192607065 385214130