Search a number
-
+
349946848 = 25311811949
BaseRepresentation
bin10100110110111…
…100001111100000
3220101111010211101
4110312330033200
51204041244343
654420324144
711446333126
oct2466741740
9811433741
10349946848
1116a599279
1299243654
1357667c54
1434695916
1520ac7e4d
hex14dbc3e0

349946848 has 48 divisors (see below), whose sum is σ = 715478400. Its totient is φ = 168307200.

The previous prime is 349946827. The next prime is 349946867. The reversal of 349946848 is 848649943.

It is a happy number.

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, 178578 + ... + 180526.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2349946848 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 349946848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357739200).

349946848 is an abundant number, since it is smaller than the sum of its proper divisors (365531552).

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

349946848 is a wasteful number, since it uses less digits than its factorization.

349946848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2163 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 55.

The square root of 349946848 is about 18706.8663329805. The cubic root of 349946848 is about 704.6941973031.

The spelling of 349946848 in words is "three hundred forty-nine million, nine hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 181 248 362 496 724 992 1448 1949 2896 3898 5611 5792 7796 11222 15592 22444 31184 44888 60419 62368 89776 120838 179552 241676 352769 483352 705538 966704 1411076 1933408 2822152 5644304 10935839 11288608 21871678 43743356 87486712 174973424 349946848