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1344410430 = 235112383967
BaseRepresentation
bin101000000100010…
…0001001100111110
310110200202010101220
41100020201030332
510223132113210
6341223214210
745213204636
oct12010411476
93420663356
101344410430
1162a980500
123162a7366
131856b713c
14ca7a16c6
157d063c70
hex5022133e

1344410430 has 96 divisors (see below), whose sum is σ = 3559514112. Its totient is φ = 324730560.

The previous prime is 1344410407. The next prime is 1344410447. The reversal of 1344410430 is 340144431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344410430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389807 + ... + 1390773.

It is an arithmetic number, because the mean of its divisors is an integer number (37078272).

Almost surely, 21344410430 is an apocalyptic number.

1344410430 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 1344410430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779757056).

1344410430 is an abundant number, since it is smaller than the sum of its proper divisors (2215103682).

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

1344410430 is a wasteful number, since it uses less digits than its factorization.

1344410430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1344410430 is about 36666.2028303996. The cubic root of 1344410430 is about 1103.6819949576.

Adding to 1344410430 its reverse (340144431), we get a palindrome (1684554861).

The spelling of 1344410430 in words is "one billion, three hundred forty-four million, four hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 383 605 726 766 967 1149 1210 1815 1915 1934 2298 2901 3630 3830 4213 4835 5745 5802 8426 9670 10637 11490 12639 14505 21065 21274 25278 29010 31911 42130 46343 53185 63195 63822 92686 106370 117007 126390 139029 159555 231715 234014 278058 319110 351021 370361 463430 585035 695145 702042 740722 1111083 1170070 1390290 1755105 1851805 2222166 3510210 3703610 4073971 5555415 8147942 11110830 12221913 20369855 24443826 40739710 44813681 61109565 89627362 122219130 134441043 224068405 268882086 448136810 672205215 1344410430