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385974369 = 331129411093
BaseRepresentation
bin10111000000011…
…000000001100001
3222220021112022000
4113000120001201
51242302134434
6102144434213
712364504464
oct2700300141
9886245260
10385974369
11188966290
12a9318969
1361c70601
14393932db
1523d42b99
hex17018061

385974369 has 64 divisors (see below), whose sum is σ = 661651200. Its totient is φ = 220147200.

The previous prime is 385974367. The next prime is 385974403. The reversal of 385974369 is 963479583.

385974369 is a `hidden beast` number, since 3 + 8 + 597 + 43 + 6 + 9 = 666.

It is not a de Polignac number, because 385974369 - 21 = 385974367 is a prime.

It is a super-2 number, since 2×3859743692 = 297952427049896322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (385974367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352587 + ... + 353679.

It is an arithmetic number, because the mean of its divisors is an integer number (10338300).

Almost surely, 2385974369 is an apocalyptic number.

It is an amenable number.

385974369 is a deficient number, since it is larger than the sum of its proper divisors (275676831).

385974369 is a wasteful number, since it uses less digits than its factorization.

385974369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 385974369 is about 19646.2304017845. The cubic root of 385974369 is about 728.0918257808.

The spelling of 385974369 in words is "three hundred eighty-five million, nine hundred seventy-four thousand, three hundred sixty-nine".

Divisors: 1 3 9 11 27 29 33 41 87 99 123 261 297 319 369 451 783 957 1093 1107 1189 1353 2871 3279 3567 4059 8613 9837 10701 12023 12177 13079 29511 31697 32103 36069 39237 44813 95091 108207 117711 134439 285273 324621 348667 353133 403317 492943 855819 1046001 1209951 1299577 1478829 3138003 3898731 4436487 9414009 11696193 13309461 14295347 35088579 42886041 128658123 385974369