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3974436 = 2232113977
BaseRepresentation
bin1111001010010100100100
321110220220100
433022110210
52004140221
6221104100
745532164
oct17122444
97426810
103974436
112275064
1213b8030
13a9204b
147565a4
15537926
hex3ca524

3974436 has 36 divisors (see below), whose sum is σ = 10145772. Its totient is φ = 1311744.

The previous prime is 3974419. The next prime is 3974437. The reversal of 3974436 is 6344793.

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 2232036 = 1320^2 + 1494^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×39744362 = 31592283036192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3974436.

It is not an unprimeable number, because it can be changed into a prime (3974437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3580 + ... + 4556.

It is an arithmetic number, because the mean of its divisors is an integer number (281827).

Almost surely, 23974436 is an apocalyptic number.

3974436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3974436 is an abundant number, since it is smaller than the sum of its proper divisors (6171336).

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

3974436 is a wasteful number, since it uses less digits than its factorization.

3974436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1095 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3974436 is about 1993.5987560189. The cubic root of 3974436 is about 158.4012128772.

The spelling of 3974436 in words is "three million, nine hundred seventy-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 977 1017 1356 1954 2034 2931 3908 4068 5862 8793 11724 17586 35172 110401 220802 331203 441604 662406 993609 1324812 1987218 3974436