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3974940 = 2233517433
BaseRepresentation
bin1111001010011100011100
321110221121000
433022130130
52004144230
6221110300
745533514
oct17123434
97427530
103974940
112275482
1213b8390
13a92348
14756844
15537b60
hex3ca71c

3974940 has 96 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 995328.

The previous prime is 3974939. The next prime is 3974951. The reversal of 3974940 is 494793.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3974895 and 3974904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8964 + ... + 9396.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 23974940 is an apocalyptic number.

3974940 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 3974940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

3974940 is an abundant number, since it is smaller than the sum of its proper divisors (9149220).

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

3974940 is a wasteful number, since it uses less digits than its factorization.

3974940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3974940 is about 1993.7251565850. The cubic root of 3974940 is about 158.4079082369.

The spelling of 3974940 in words is "three million, nine hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 433 459 510 540 612 765 866 918 1020 1299 1530 1732 1836 2165 2295 2598 3060 3897 4330 4590 5196 6495 7361 7794 8660 9180 11691 12990 14722 15588 19485 22083 23382 25980 29444 36805 38970 44166 46764 58455 66249 73610 77940 88332 110415 116910 132498 147220 198747 220830 233820 264996 331245 397494 441660 662490 794988 993735 1324980 1987470 3974940