Search a number
-
+
1430341344 = 253211343951
BaseRepresentation
bin101010101000001…
…0100011011100000
310200200102212110100
41111100110123200
510412131410334
6353533102400
750305462245
oct12520243340
93620385410
101430341344
11674432693
1233b027a00
1319a442c33
14d7d6d5cc
1585889c99
hex554146e0

1430341344 has 72 divisors (see below), whose sum is σ = 4103622432. Its totient is φ = 472550400.

The previous prime is 1430341331. The next prime is 1430341349. The reversal of 1430341344 is 4431430341.

1430341344 is a `hidden beast` number, since 14 + 303 + 4 + 1 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430341349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10569 + ... + 54519.

It is an arithmetic number, because the mean of its divisors is an integer number (56994756).

Almost surely, 21430341344 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 1430341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051811216).

1430341344 is an abundant number, since it is smaller than the sum of its proper divisors (2673281088).

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

1430341344 is a wasteful number, since it uses less digits than its factorization.

1430341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44080 (or 44069 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1430341344 is about 37819.8538336678. The cubic root of 1430341344 is about 1126.7128066411.

Adding to 1430341344 its reverse (4431430341), we get a palindrome (5861771685).

The spelling of 1430341344 in words is "one billion, four hundred thirty million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 5424 8136 10848 16272 32544 43951 87902 131853 175804 263706 351608 395559 527412 703216 791118 1054824 1406432 1582236 2109648 3164472 4219296 4966463 6328944 9932926 12657888 14899389 19865852 29798778 39731704 44698167 59597556 79463408 89396334 119195112 158926816 178792668 238390224 357585336 476780448 715170672 1430341344