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1342424304 = 2432132512857
BaseRepresentation
bin101000000000011…
…1100010011110000
310110120000012221200
41100000330103300
510222130034204
6341112451200
745160263324
oct12000742360
93416005850
101342424304
11629844281
123156a9b00
13185170110
14ca405984
157ccc0539
hex5003c4f0

1342424304 has 120 divisors (see below), whose sum is σ = 4063458672. Its totient is φ = 411264000.

The previous prime is 1342424249. The next prime is 1342424359. The reversal of 1342424304 is 4034242431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1342424249) and next prime (1342424359).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468444 + ... + 471300.

Almost surely, 21342424304 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 1342424304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031729336).

1342424304 is an abundant number, since it is smaller than the sum of its proper divisors (2721034368).

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

1342424304 is a wasteful number, since it uses less digits than its factorization.

1342424304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1342424304 is about 36639.1089411301. The cubic root of 1342424304 is about 1103.1382295027.

Adding to 1342424304 its reverse (4034242431), we get a palindrome (5376666735).

The spelling of 1342424304 in words is "one billion, three hundred forty-two million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 251 312 468 502 624 753 936 1004 1506 1872 2008 2259 2857 3012 3263 4016 4518 5714 6024 6526 8571 9036 9789 11428 12048 13052 17142 18072 19578 22856 25713 26104 29367 34284 36144 37141 39156 45712 51426 52208 58734 68568 74282 78312 102852 111423 117468 137136 148564 156624 205704 222846 234936 297128 334269 411408 445692 469872 594256 668538 717107 891384 1337076 1434214 1782768 2151321 2674152 2868428 4302642 5348304 5736856 6453963 8605284 9322391 11473712 12907926 17210568 18644782 25815852 27967173 34421136 37289564 51631704 55934346 74579128 83901519 103263408 111868692 149158256 167803038 223737384 335606076 447474768 671212152 1342424304