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384930 = 232571347
BaseRepresentation
bin1011101111110100010
3201120000200
41131332202
544304210
612130030
73162150
oct1357642
9646020
10384930
11243227
12166916
13106290
14a03d0
15790c0
hex5dfa2

384930 has 96 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 79488.

The previous prime is 384919. The next prime is 384941. The reversal of 384930 is 39483.

It is an interprime number because it is at equal distance from previous prime (384919) and next prime (384941).

It is a super-2 number, since 2×3849302 = 296342209800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 384894 and 384903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8167 + ... + 8213.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2384930 is an apocalyptic number.

384930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

384930 is an abundant number, since it is smaller than the sum of its proper divisors (873054).

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

384930 is a wasteful number, since it uses less digits than its factorization.

384930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 384930 is about 620.4272721278. The cubic root of 384930 is about 72.7434542593.

The spelling of 384930 in words is "three hundred eighty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 47 63 65 70 78 90 91 94 105 117 126 130 141 182 195 210 234 235 273 282 315 329 390 423 455 470 546 585 611 630 658 705 819 846 910 987 1170 1222 1365 1410 1638 1645 1833 1974 2115 2730 2961 3055 3290 3666 4095 4230 4277 4935 5499 5922 6110 8190 8554 9165 9870 10998 12831 14805 18330 21385 25662 27495 29610 38493 42770 54990 64155 76986 128310 192465 384930