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4057344 = 2833587
BaseRepresentation
bin1111011110100100000000
321122010122000
433132210000
52014313334
6222544000
746325664
oct17364400
97563560
104057344
112321385
121438000
13ac09c5
147788a4
15552299
hex3de900

4057344 has 72 divisors (see below), whose sum is σ = 12018720. Its totient is φ = 1350144.

The previous prime is 4057343. The next prime is 4057349. The reversal of 4057344 is 4437504.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4057343) 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, 6619 + ... + 7205.

Almost surely, 24057344 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 4057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6009360).

4057344 is an abundant number, since it is smaller than the sum of its proper divisors (7961376).

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

4057344 is an equidigital number, since it uses as much as digits as its factorization.

4057344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4057344 is about 2014.2849848023. The cubic root of 4057344 is about 159.4950749094.

The spelling of 4057344 in words is "four million, fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 587 768 864 1152 1174 1728 1761 2304 2348 3456 3522 4696 5283 6912 7044 9392 10566 14088 15849 18784 21132 28176 31698 37568 42264 56352 63396 75136 84528 112704 126792 150272 169056 225408 253584 338112 450816 507168 676224 1014336 1352448 2028672 4057344