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12834948 = 2237473251
BaseRepresentation
bin110000111101…
…100010000100
3220011002020110
4300331202010
511241204243
61135033020
7214044450
oct60754204
926132213
1012834948
1172770a5
12436b770
132875059
1419c1660
1511d7e33
hexc3d884

12834948 has 48 divisors (see below), whose sum is σ = 34965504. Its totient is φ = 3588000.

The previous prime is 12834947. The next prime is 12834953. The reversal of 12834948 is 84943821.

It is not an unprimeable number, because it can be changed into a prime (12834947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2323 + ... + 5573.

It is an arithmetic number, because the mean of its divisors is an integer number (728448).

Almost surely, 212834948 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 12834948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17482752).

12834948 is an abundant number, since it is smaller than the sum of its proper divisors (22130556).

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

12834948 is a wasteful number, since it uses less digits than its factorization.

12834948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3310 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 12834948 is about 3582.5895662216. The cubic root of 12834948 is about 234.1341184539.

The spelling of 12834948 in words is "twelve million, eight hundred thirty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3251 3948 6502 9753 13004 19506 22757 39012 45514 68271 91028 136542 152797 273084 305594 458391 611188 916782 1069579 1833564 2139158 3208737 4278316 6417474 12834948