Search a number
-
+
3389455344 = 243116419423
BaseRepresentation
bin1100101000000110…
…1111101111110000
322202012212011122010
43022001233233300
523420200032334
61320155442520
7146664616002
oct31201575760
98665764563
103389455344
11148a293a70
127a7156440
134202a33a2
14242224372
1514c8730e9
hexca06fbf0

3389455344 has 40 divisors (see below), whose sum is σ = 9552102912. Its totient is φ = 1027107520.

The previous prime is 3389455343. The next prime is 3389455357. The reversal of 3389455344 is 4435549833.

It is a super-2 number, since 2×33894553442 = 22976815057940316672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3389455293 and 3389455302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389455343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3209184 + ... + 3210239.

Almost surely, 23389455344 is an apocalyptic number.

It is an amenable number.

3389455344 is an abundant number, since it is smaller than the sum of its proper divisors (6162647568).

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

3389455344 is a wasteful number, since it uses less digits than its factorization.

3389455344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419445 (or 6419439 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The square root of 3389455344 is about 58219.0290540816. The cubic root of 3389455344 is about 1502.1384822580.

The spelling of 3389455344 in words is "three billion, three hundred eighty-nine million, four hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 6419423 12838846 19258269 25677692 38516538 51355384 70613653 77033076 102710768 141227306 154066152 211840959 282454612 308132304 423681918 564909224 847363836 1129818448 1694727672 3389455344