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1344050430 = 2351797101269
BaseRepresentation
bin101000000011100…
…1001010011111110
310110200001211120120
41100013021103332
510223034103210
6341211355410
745210145242
oct12007112376
93420054516
101344050430
1162a754a88
12316152b66
131855bc318
14ca70a422
157cee2270
hex501c94fe

1344050430 has 128 divisors (see below), whose sum is σ = 3497800320. Its totient is φ = 329318400.

The previous prime is 1344050417. The next prime is 1344050453. The reversal of 1344050430 is 340504431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344050430.

It is a congruent number.

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, 4996336 + ... + 4996604.

It is an arithmetic number, because the mean of its divisors is an integer number (27326565).

Almost surely, 21344050430 is an apocalyptic number.

1344050430 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 1344050430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748900160).

1344050430 is an abundant number, since it is smaller than the sum of its proper divisors (2153749890).

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

1344050430 is a wasteful number, since it uses less digits than its factorization.

1344050430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1344050430 is about 36661.2933487077. The cubic root of 1344050430 is about 1103.5834732118.

Adding to 1344050430 its reverse (340504431), we get a palindrome (1684554861).

The spelling of 1344050430 in words is "one billion, three hundred forty-four million, fifty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 97 101 102 170 194 202 255 269 291 303 485 505 510 538 582 606 807 970 1010 1345 1455 1515 1614 1649 1717 2690 2910 3030 3298 3434 4035 4573 4947 5151 8070 8245 8585 9146 9797 9894 10302 13719 16490 17170 19594 22865 24735 25755 26093 27169 27438 29391 45730 48985 49470 51510 52186 54338 58782 68595 78279 81507 97970 130465 135845 137190 146955 156558 163014 166549 260930 271690 293910 333098 391395 407535 443581 461873 499647 782790 815070 832745 887162 923746 999294 1330743 1385619 1665490 2217905 2309365 2498235 2635393 2661486 2771238 4435810 4618730 4996470 5270786 6653715 6928095 7906179 13176965 13307430 13856190 15812358 26353930 39530895 44801681 79061790 89603362 134405043 224008405 268810086 448016810 672025215 1344050430