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3985440 = 253519223
BaseRepresentation
bin1111001101000000100000
321111110222220
433031000200
52010013230
6221231040
745606234
oct17150040
97443886
103985440
112282358
121402480
13a97064
1475a5c4
1553ad10
hex3cd020

3985440 has 144 divisors (see below), whose sum is σ = 13825728. Its totient is φ = 963072.

The previous prime is 3985433. The next prime is 3985451. The reversal of 3985440 is 445893.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173269 + ... + 173291.

It is an arithmetic number, because the mean of its divisors is an integer number (96012).

Almost surely, 23985440 is an apocalyptic number.

3985440 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 3985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912864).

3985440 is an abundant number, since it is smaller than the sum of its proper divisors (9840288).

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

3985440 is a wasteful number, since it uses less digits than its factorization.

3985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3985440 is about 1996.3566815577. The cubic root of 3985440 is about 158.5472663685.

The spelling of 3985440 in words is "three million, nine hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 32 38 40 46 48 57 60 69 76 80 92 95 96 114 115 120 138 152 160 184 190 228 230 240 276 285 304 345 361 368 380 437 456 460 480 552 570 608 690 722 736 760 874 912 920 1083 1104 1140 1311 1380 1444 1520 1748 1805 1824 1840 2166 2185 2208 2280 2622 2760 2888 3040 3496 3610 3680 4332 4370 4560 5244 5415 5520 5776 6555 6992 7220 8303 8664 8740 9120 10488 10830 11040 11552 13110 13984 14440 16606 17328 17480 20976 21660 24909 26220 28880 33212 34656 34960 41515 41952 43320 49818 52440 57760 66424 69920 83030 86640 99636 104880 124545 132848 166060 173280 199272 209760 249090 265696 332120 398544 498180 664240 797088 996360 1328480 1992720 3985440