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3994368 = 2837743
BaseRepresentation
bin1111001111001100000000
321111221020120
433033030000
52010304433
6221340240
745644250
oct17171400
97457216
103994368
112289034
121407680
13a9b141
1475d960
1553d7b3
hex3cf300

3994368 has 72 divisors (see below), whose sum is σ = 12165888. Its totient is φ = 1139712.

The previous prime is 3994357. The next prime is 3994369. The reversal of 3994368 is 8634993.

It is a super-3 number, since 3×39943683 (a number of 21 digits) contains 333 as substring.

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

It is a d-powerful number, because it can be written as 3 + 9 + 94 + 47 + 313 + 67 + 87 .

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3994369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5005 + ... + 5747.

Almost surely, 23994368 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 3994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082944).

3994368 is an abundant number, since it is smaller than the sum of its proper divisors (8171520).

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

3994368 is an equidigital number, since it uses as much as digits as its factorization.

3994368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 755 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 3994368 is about 1998.5915040348. The cubic root of 3994368 is about 158.6655681805.

The spelling of 3994368 in words is "three million, nine hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 743 768 896 1344 1486 1792 2229 2688 2972 4458 5201 5376 5944 8916 10402 11888 15603 17832 20804 23776 31206 35664 41608 47552 62412 71328 83216 95104 124824 142656 166432 190208 249648 285312 332864 499296 570624 665728 998592 1331456 1997184 3994368