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1430422336 = 26731127811
BaseRepresentation
bin101010101000010…
…1000001101000000
310200200120222120001
41111100220031000
510412142003321
6353534525344
750306250340
oct12520501500
93620528501
101430422336
11674488522
1233b066854
1319a470a65
14d7d90d20
15858a3c91
hex55428340

1430422336 has 112 divisors (see below), whose sum is σ = 3379167232. Its totient is φ = 587865600.

The previous prime is 1430422333. The next prime is 1430422337. The reversal of 1430422336 is 6332240341.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×14304223362 = 4092216118655393792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430422333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763371 + ... + 1764181.

It is an arithmetic number, because the mean of its divisors is an integer number (30171136).

Almost surely, 21430422336 is an apocalyptic number.

1430422336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430422336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689583616).

1430422336 is an abundant number, since it is smaller than the sum of its proper divisors (1948744896).

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

1430422336 is a wasteful number, since it uses less digits than its factorization.

1430422336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 1430422336 is about 37820.9245788624. The cubic root of 1430422336 is about 1126.7340726607.

Adding to 1430422336 its reverse (6332240341), we get a palindrome (7762662677).

The spelling of 1430422336 in words is "one billion, four hundred thirty million, four hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 127 217 224 248 254 434 448 496 508 811 868 889 992 1016 1622 1736 1778 1984 2032 3244 3472 3556 3937 4064 5677 6488 6944 7112 7874 8128 11354 12976 13888 14224 15748 22708 25141 25952 27559 28448 31496 45416 50282 51904 55118 56896 62992 90832 100564 102997 110236 125984 175987 181664 201128 205994 220472 251968 351974 363328 402256 411988 440944 703948 720979 804512 823976 881888 1407896 1441958 1609024 1647952 1763776 2815792 2883916 3192907 3295904 5631584 5767832 6385814 6591808 11263168 11535664 12771628 22350349 23071328 25543256 44700698 46142656 51086512 89401396 102173024 178802792 204346048 357605584 715211168 1430422336