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3929040 = 2433517107
BaseRepresentation
bin1110111111001111010000
321101121122000
432333033100
52001212130
6220114000
745252633
oct16771720
97347560
103929040
112243a45
121395900
13a7749b
14743c1a
15529260
hex3bf3d0

3929040 has 160 divisors (see below), whose sum is σ = 14463360. Its totient is φ = 976896.

The previous prime is 3929027. The next prime is 3929047. The reversal of 3929040 is 409293.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3928995 and 3929013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3929047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36667 + ... + 36773.

It is an arithmetic number, because the mean of its divisors is an integer number (90396).

Almost surely, 23929040 is an apocalyptic number.

3929040 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 3929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231680).

3929040 is an abundant number, since it is smaller than the sum of its proper divisors (10534320).

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

3929040 is a wasteful number, since it uses less digits than its factorization.

3929040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3929040 is about 1982.1806174009. The cubic root of 3929040 is about 157.7958159338.

The spelling of 3929040 in words is "three million, nine hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 107 108 120 135 136 144 153 170 180 204 214 216 240 255 270 272 306 321 340 360 408 428 432 459 510 535 540 612 642 680 720 765 816 856 918 963 1020 1070 1080 1224 1284 1360 1530 1605 1712 1819 1836 1926 2040 2140 2160 2295 2448 2568 2889 3060 3210 3638 3672 3852 4080 4280 4590 4815 5136 5457 5778 6120 6420 7276 7344 7704 8560 9095 9180 9630 10914 11556 12240 12840 14445 14552 15408 16371 18190 18360 19260 21828 23112 25680 27285 28890 29104 32742 36380 36720 38520 43656 46224 49113 54570 57780 65484 72760 77040 81855 87312 98226 109140 115560 130968 145520 163710 196452 218280 231120 245565 261936 327420 392904 436560 491130 654840 785808 982260 1309680 1964520 3929040