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3334257440 = 25520839109
BaseRepresentation
bin1100011010111100…
…1011101100100000
322121100222211100022
43012233023230200
523312032214230
61310504413012
7145424502113
oct30657135440
98540884308
103334257440
111461112a68
12790777168
13411a180c7
14238b7657a
15147abd1e5
hexc6bcbb20

3334257440 has 24 divisors (see below), whose sum is σ = 7877183580. Its totient is φ = 1333702912.

The previous prime is 3334257419. The next prime is 3334257449. The reversal of 3334257440 is 447524333.

3334257440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3222151696 + 112105744 = 56764^2 + 10588^2 .

It is a super-2 number, since 2×33342574402 = 22234545352390707200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3334257440.

It is not an unprimeable number, because it can be changed into a prime (3334257449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10419395 + ... + 10419714.

Almost surely, 23334257440 is an apocalyptic number.

It is an amenable number.

3334257440 is an abundant number, since it is smaller than the sum of its proper divisors (4542926140).

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

3334257440 is a wasteful number, since it uses less digits than its factorization.

3334257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20839124 (or 20839116 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 35.

The square root of 3334257440 is about 57743.0293628590. The cubic root of 3334257440 is about 1493.9396126311.

The spelling of 3334257440 in words is "three billion, three hundred thirty-four million, two hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 20839109 41678218 83356436 104195545 166712872 208391090 333425744 416782180 666851488 833564360 1667128720 3334257440