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3974464 = 261317281
BaseRepresentation
bin1111001010010101000000
321110220221101
433022111000
52004140324
6221104144
745532234
oct17122500
97426841
103974464
11227508a
1213b8054
13a92070
147565c4
15537944
hex3ca540

3974464 has 56 divisors (see below), whose sum is σ = 9025128. Its totient is φ = 1720320.

The previous prime is 3974459. The next prime is 3974483. The reversal of 3974464 is 4644793.

It can be written as a sum of positive squares in 4 ways, for example, as 705600 + 3268864 = 840^2 + 1808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14004 + ... + 14284.

It is an arithmetic number, because the mean of its divisors is an integer number (161163).

Almost surely, 23974464 is an apocalyptic number.

3974464 is a gapful number since it is divisible by the number (34) 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 3974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512564).

3974464 is an abundant number, since it is smaller than the sum of its proper divisors (5050664).

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

3974464 is a wasteful number, since it uses less digits than its factorization.

3974464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 3974464 is about 1993.6057784828. The cubic root of 3974464 is about 158.4015848564.

The spelling of 3974464 in words is "three million, nine hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 281 416 442 544 562 832 884 1088 1124 1768 2248 3536 3653 4496 4777 7072 7306 8992 9554 14144 14612 17984 19108 29224 38216 58448 62101 76432 116896 124202 152864 233792 248404 305728 496808 993616 1987232 3974464