Search a number
-
+
3388206472 = 237533493271
BaseRepresentation
bin1100100111110011…
…1110110110001000
322202010111201111121
43021330332312020
523414340101342
61320113005024
7146651164660
oct31174766610
98663451447
103388206472
111489610742
127a6853774
1341cc56b01
14241dbb1a0
1514c6c8067
hexc9f3ed88

3388206472 has 64 divisors (see below), whose sum is σ = 7420896000. Its totient is φ = 1420174080.

The previous prime is 3388206461. The next prime is 3388206551. The reversal of 3388206472 is 2746028833.

It is a super-2 number, since 2×33882064722 = 22959886193805373568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034197 + ... + 1037467.

It is an arithmetic number, because the mean of its divisors is an integer number (115951500).

Almost surely, 23388206472 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 3388206472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710448000).

3388206472 is an abundant number, since it is smaller than the sum of its proper divisors (4032689528).

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

3388206472 is a wasteful number, since it uses less digits than its factorization.

3388206472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 3388206472 is about 58208.3024318696. The cubic root of 3388206472 is about 1501.9539679380.

The spelling of 3388206472 in words is "three billion, three hundred eighty-eight million, two hundred six thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 349 371 424 698 742 1396 1484 2443 2792 2968 3271 4886 6542 9772 13084 18497 19544 22897 26168 36994 45794 73988 91588 129479 147976 173363 183176 258958 346726 517916 693452 1035832 1141579 1213541 1386904 2283158 2427082 4566316 4854164 7991053 9132632 9708328 15982106 31964212 60503687 63928424 121007374 242014748 423525809 484029496 847051618 1694103236 3388206472