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1346382848 = 2106172131
BaseRepresentation
bin101000001000000…
…0010110000000000
310110211110100001102
41100100002300000
510224133222343
6341333353532
745236031266
oct12020026000
93424410042
101346382848
11630aa83a8
12316a988a8
13185c27b55
14cab56436
157d3033b8
hex50402c00

1346382848 has 44 divisors (see below), whose sum is σ = 2697078072. Its totient is φ = 671784960.

The previous prime is 1346382841. The next prime is 1346382931. The reversal of 1346382848 is 8482836431.

It is a super-2 number, since 2×13463828482 = 3625493546777182208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1346382841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 630743 + ... + 632873.

Almost surely, 21346382848 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 1346382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348539036).

1346382848 is an abundant number, since it is smaller than the sum of its proper divisors (1350695224).

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

1346382848 is an equidigital number, since it uses as much as digits as its factorization.

1346382848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2750 counting only the distinct ones).

The product of its digits is 884736, while the sum is 47.

The square root of 1346382848 is about 36693.0899216733. The cubic root of 1346382848 is about 1104.2214776547.

The spelling of 1346382848 in words is "one billion, three hundred forty-six million, three hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 617 1024 1234 2131 2468 4262 4936 8524 9872 17048 19744 34096 39488 68192 78976 136384 157952 272768 315904 545536 631808 1091072 1314827 2182144 2629654 5259308 10518616 21037232 42074464 84148928 168297856 336595712 673191424 1346382848