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3978744 = 2337112153
BaseRepresentation
bin1111001011010111111000
321111010210220
433023113320
52004304434
6221140040
745550560
oct17132770
97433726
103978744
112278320
1213ba620
13a93cb3
14757da0
15538d49
hex3cb5f8

3978744 has 64 divisors (see below), whose sum is σ = 12407040. Its totient is φ = 1032960.

The previous prime is 3978743. The next prime is 3978749. The reversal of 3978744 is 4478793.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3978696 and 3978705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (193860).

Almost surely, 23978744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3978744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6203520).

3978744 is an abundant number, since it is smaller than the sum of its proper divisors (8428296).

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

3978744 is a wasteful number, since it uses less digits than its factorization.

3978744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2176 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 3978744 is about 1994.6789215310. The cubic root of 3978744 is about 158.4584240151.

The spelling of 3978744 in words is "three million, nine hundred seventy-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 2153 4306 6459 8612 12918 15071 17224 23683 25836 30142 45213 47366 51672 60284 71049 90426 94732 120568 142098 165781 180852 189464 284196 331562 361704 497343 568392 663124 994686 1326248 1989372 3978744