Search a number
-
+
3378848 = 251129331
BaseRepresentation
bin1100111000111010100000
320100122220112
430320322200
51331110343
6200230452
740501604
oct14707240
96318815
103378848
1119a8640
12116b428
13913c25
1463d504
1546b218
hex338ea0

3378848 has 48 divisors (see below), whose sum is σ = 7529760. Its totient is φ = 1478400.

The previous prime is 3378839. The next prime is 3378857. The reversal of 3378848 is 8488733.

It is an interprime number because it is at equal distance from previous prime (3378839) and next prime (3378857).

It is a super-2 number, since 2×33788482 = 22833227614208, which contains 22 as substring.

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, 10043 + ... + 10373.

It is an arithmetic number, because the mean of its divisors is an integer number (156870).

Almost surely, 23378848 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 3378848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764880).

3378848 is an abundant number, since it is smaller than the sum of its proper divisors (4150912).

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

3378848 is a wasteful number, since it uses less digits than its factorization.

3378848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 3378848 is about 1838.1643016880. The cubic root of 3378848 is about 150.0569857555.

It can be divided in two parts, 337884 and 8, that multiplied together give a palindrome (2703072).

The spelling of 3378848 in words is "three million, three hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 331 352 464 638 662 928 1276 1324 2552 2648 3641 5104 5296 7282 9599 10208 10592 14564 19198 29128 38396 58256 76792 105589 116512 153584 211178 307168 422356 844712 1689424 3378848