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1344130304 = 28112320753
BaseRepresentation
bin101000000011101…
…1100110100000000
310110200012220010212
41100013130310000
510223044132204
6341213213252
745210630146
oct12007346400
93420186125
101344130304
1162a7a9aa0
12316191228
1318561979a
14ca72b596
157d00ac6e
hex501dcd00

1344130304 has 72 divisors (see below), whose sum is σ = 3054324672. Its totient is φ = 584376320.

The previous prime is 1344130289. The next prime is 1344130343. The reversal of 1344130304 is 4030314431.

It is a super-2 number, since 2×13441303042 = 3613372548262264832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 1344130304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54392 + ... + 75144.

It is an arithmetic number, because the mean of its divisors is an integer number (42421176).

Almost surely, 21344130304 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 1344130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527162336).

1344130304 is an abundant number, since it is smaller than the sum of its proper divisors (1710194368).

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

1344130304 is a wasteful number, since it uses less digits than its factorization.

1344130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20803 (or 20789 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1344130304 is about 36662.3826830718. The cubic root of 1344130304 is about 1103.6053339690.

Adding to 1344130304 its reverse (4030314431), we get a palindrome (5374444735).

The spelling of 1344130304 in words is "one billion, three hundred forty-four million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 704 736 1012 1408 1472 2024 2816 2944 4048 5888 8096 16192 20753 32384 41506 64768 83012 166024 228283 332048 456566 477319 664096 913132 954638 1328192 1826264 1909276 2656384 3652528 3818552 5250509 5312768 7305056 7637104 10501018 14610112 15274208 21002036 29220224 30548416 42004072 58440448 61096832 84008144 122193664 168016288 336032576 672065152 1344130304