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1344305130 = 235741433631
BaseRepresentation
bin101000000100000…
…0111011111101010
310110200112202221220
41100020013133222
510223120231010
6341221042510
745212255640
oct12010073752
93420482856
101344305130
1162a909383
12316256436
1318567b22c
14ca775190
157d042970
hex502077ea

1344305130 has 128 divisors (see below), whose sum is σ = 3866075136. Its totient is φ = 292723200.

The previous prime is 1344305117. The next prime is 1344305153. The reversal of 1344305130 is 315034431.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1344305130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368415 + ... + 372045.

It is an arithmetic number, because the mean of its divisors is an integer number (30203712).

Almost surely, 21344305130 is an apocalyptic number.

1344305130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344305130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933037568).

1344305130 is an abundant number, since it is smaller than the sum of its proper divisors (2521770006).

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

1344305130 is a wasteful number, since it uses less digits than its factorization.

1344305130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1344305130 is about 36664.7668750259. The cubic root of 1344305130 is about 1103.6531791670.

Adding to 1344305130 its reverse (315034431), we get a palindrome (1659339561).

The spelling of 1344305130 in words is "one billion, three hundred forty-four million, three hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 43 70 82 86 105 123 129 205 210 215 246 258 287 301 410 430 574 602 615 645 861 903 1230 1290 1435 1505 1722 1763 1806 2870 3010 3526 3631 4305 4515 5289 7262 8610 8815 9030 10578 10893 12341 17630 18155 21786 24682 25417 26445 36310 37023 50834 52890 54465 61705 74046 76251 108930 123410 127085 148871 152502 156133 185115 254170 297742 312266 370230 381255 446613 468399 744355 762510 780665 893226 936798 1042097 1092931 1488710 1561330 2084194 2185862 2233065 2341995 3126291 3278793 4466130 4683990 5210485 5464655 6252582 6401453 6557586 10420970 10929310 12802906 15631455 16393965 19204359 31262910 32007265 32787930 38408718 44810171 64014530 89620342 96021795 134430513 192043590 224050855 268861026 448101710 672152565 1344305130