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384322680 = 233257221787
BaseRepresentation
bin10110111010000…
…100110001111000
3222210011121121100
4112322010301320
51241341311210
6102045211400
712344455200
oct2672046170
9883147540
10384322680
11187a38355
12a8860b60
1361812891
1439083400
1523b185c0
hex16e84c78

384322680 has 144 divisors (see below), whose sum is σ = 1453041720. Its totient is φ = 87841152.

The previous prime is 384322669. The next prime is 384322693. The reversal of 384322680 is 86223483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6747 + ... + 28533.

Almost surely, 2384322680 is an apocalyptic number.

384322680 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 384322680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726520860).

384322680 is an abundant number, since it is smaller than the sum of its proper divisors (1068719040).

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

384322680 is a wasteful number, since it uses less digits than its factorization.

384322680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21818 (or 21804 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 384322680 is about 19604.1495607435. The cubic root of 384322680 is about 727.0517733519.

The spelling of 384322680 in words is "three hundred eighty-four million, three hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 21787 43574 65361 87148 108935 130722 152509 174296 196083 217870 261444 305018 326805 392166 435740 457527 522888 610036 653610 762545 784332 871480 915054 980415 1067563 1220072 1307220 1372581 1525090 1568664 1830108 1960830 2135126 2287635 2614440 2745162 3050180 3202689 3660216 3921660 4270252 4575270 5337815 5490324 6100360 6405378 6862905 7843320 8540504 9150540 9608067 10675630 10980648 12810756 13725810 16013445 18301080 19216134 21351260 25621512 27451620 32026890 38432268 42702520 48040335 54903240 64053780 76864536 96080670 128107560 192161340 384322680