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3444242304 = 27329309289
BaseRepresentation
bin1100110101001010…
…1111011110000000
322220000221122012210
43031102233132000
524023211223204
61325434022120
7151231401516
oct31522573600
98800848183
103444242304
111508204248
12801577940
1342b7465c9
142496064b6
15152596389
hexcd4af780

3444242304 has 64 divisors (see below), whose sum is σ = 9464274000. Its totient is φ = 1108488192.

The previous prime is 3444242287. The next prime is 3444242311. The reversal of 3444242304 is 4032424443.

3444242304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 143509 + ... + 165780.

Almost surely, 23444242304 is an apocalyptic number.

It is an amenable number.

3444242304 is an abundant number, since it is smaller than the sum of its proper divisors (6020031696).

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

3444242304 is a wasteful number, since it uses less digits than its factorization.

3444242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309335 (or 309323 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 3444242304 is about 58687.6673927325. The cubic root of 3444242304 is about 1510.1887552587.

Adding to 3444242304 its reverse (4032424443), we get a palindrome (7476666747).

The spelling of 3444242304 in words is "three billion, four hundred forty-four million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 309289 618578 927867 1237156 1855734 2474312 3711468 4948624 7422936 8969381 9897248 14845872 17938762 19794496 26908143 29691744 35877524 39588992 53816286 59383488 71755048 107632572 118766976 143510096 215265144 287020192 430530288 574040384 861060576 1148080768 1722121152 3444242304