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1346404304 = 247432631063
BaseRepresentation
bin101000001000000…
…0111111111010000
310110211111102111002
41100100013333100
510224134414204
6341334041132
745236150660
oct12020077720
93424442432
101346404304
11631012533
12316aa91a8
13185c3484b
14cab601a0
157d30991e
hex50407fd0

1346404304 has 80 divisors (see below), whose sum is σ = 3065137152. Its totient is φ = 560939904.

The previous prime is 1346404271. The next prime is 1346404309. The reversal of 1346404304 is 4034046431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346404309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266077 + ... + 1267139.

Almost surely, 21346404304 is an apocalyptic number.

1346404304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346404304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532568576).

1346404304 is an abundant number, since it is smaller than the sum of its proper divisors (1718732848).

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

1346404304 is a wasteful number, since it uses less digits than its factorization.

1346404304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 1346404304 is about 36693.3822916340. The cubic root of 1346404304 is about 1104.2273432598.

The spelling of 1346404304 in words is "one billion, three hundred forty-six million, four hundred four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 263 301 344 526 602 688 1052 1063 1204 1841 2104 2126 2408 3682 4208 4252 4816 7364 7441 8504 11309 14728 14882 17008 22618 29456 29764 45236 45709 59528 79163 90472 91418 119056 158326 180944 182836 279569 316652 319963 365672 559138 633304 639926 731344 1118276 1266608 1279852 1956983 2236552 2559704 3913966 4473104 5119408 7827932 12021467 15655864 24042934 31311728 48085868 84150269 96171736 168300538 192343472 336601076 673202152 1346404304