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2382380 = 22572111317
BaseRepresentation
bin1001000101101000101100
311111001000022
421011220230
51102214010
6123021312
726151500
oct11055054
94431008
102382380
111387a10
1296a838
136554c0
14460300
15320d55
hex245a2c

2382380 has 144 divisors (see below), whose sum is σ = 7239456. Its totient is φ = 645120.

The previous prime is 2382377. The next prime is 2382389. The reversal of 2382380 is 832832.

2382380 = 293 + 303 + ... + 563.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2382389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140132 + ... + 140148.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

22382380 is an apocalyptic number.

2382380 is a gapful number since it is divisible by the number (20) 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 2382380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728).

2382380 is an abundant number, since it is smaller than the sum of its proper divisors (4857076).

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

2382380 is a wasteful number, since it uses less digits than its factorization.

2382380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2382380 is about 1543.4960317409. The cubic root of 2382380 is about 133.5581346586.

The spelling of 2382380 in words is "two million, three hundred eighty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 17 20 22 26 28 34 35 44 49 52 55 65 68 70 77 85 91 98 110 119 130 140 143 154 170 182 187 196 220 221 238 245 260 286 308 340 364 374 385 442 455 476 490 539 572 595 637 715 748 770 833 884 910 935 980 1001 1078 1105 1190 1274 1309 1430 1540 1547 1666 1820 1870 2002 2156 2210 2380 2431 2548 2618 2695 2860 3094 3185 3332 3740 4004 4165 4420 4862 5005 5236 5390 6188 6370 6545 7007 7735 8330 9163 9724 10010 10780 10829 12155 12740 13090 14014 15470 16660 17017 18326 20020 21658 24310 26180 28028 30940 34034 35035 36652 43316 45815 48620 54145 68068 70070 85085 91630 108290 119119 140140 170170 183260 216580 238238 340340 476476 595595 1191190 2382380