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1344142404 = 2233119831151
BaseRepresentation
bin101000000011101…
…1111110001000100
310110200020111202000
41100013133301010
510223100024104
6341213345300
745211010343
oct12007376104
93420214660
101344142404
1162a8080a0
12316198230
13185622147
14ca731b5a
157d00e639
hex501dfc44

1344142404 has 96 divisors (see below), whose sum is σ = 3808788480. Its totient is φ = 406548000.

The previous prime is 1344142369. The next prime is 1344142411. The reversal of 1344142404 is 4042414431.

1344142404 is a `hidden beast` number, since 1 + 3 + 4 + 414 + 240 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1167229 + ... + 1168379.

It is an arithmetic number, because the mean of its divisors is an integer number (39674880).

Almost surely, 21344142404 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 1344142404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904394240).

1344142404 is an abundant number, since it is smaller than the sum of its proper divisors (2464646076).

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

1344142404 is a wasteful number, since it uses less digits than its factorization.

1344142404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1344142404 is about 36662.5477019806. The cubic root of 1344142404 is about 1103.6086455488.

Adding to 1344142404 its reverse (4042414431), we get a palindrome (5386556835).

The spelling of 1344142404 in words is "one billion, three hundred forty-four million, one hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 983 1151 1188 1966 2302 2949 3453 3932 4604 5898 6906 8847 10359 10813 11796 12661 13812 17694 20718 21626 25322 26541 31077 32439 35388 37983 41436 43252 50644 53082 62154 64878 75966 97317 106164 113949 124308 129756 151932 194634 227898 291951 341847 389268 455796 583902 683694 1131433 1167804 1367388 2262866 3394299 4525732 6788598 10182897 12445763 13577196 20365794 24891526 30548691 37337289 40731588 49783052 61097382 74674578 112011867 122194764 149349156 224023734 336035601 448047468 672071202 1344142404