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1344241536 = 273111572027
BaseRepresentation
bin101000000011111…
…0111111110000000
310110200102112201120
41100013313332000
510223111212121
6341215432240
745211602351
oct12007677600
93420375646
101344241536
1162a875620
12316225680
131856582c1
14ca759d28
157d02dbc6
hex501f7f80

1344241536 has 128 divisors (see below), whose sum is σ = 3921989760. Its totient is φ = 404551680.

The previous prime is 1344241529. The next prime is 1344241573. The reversal of 1344241536 is 6351424431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1344241497 and 1344241506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662155 + ... + 664181.

It is an arithmetic number, because the mean of its divisors is an integer number (30640545).

Almost surely, 21344241536 is an apocalyptic number.

1344241536 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 1344241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960994880).

1344241536 is an abundant number, since it is smaller than the sum of its proper divisors (2577748224).

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

1344241536 is a wasteful number, since it uses less digits than its factorization.

1344241536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2200 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 1344241536 is about 36663.8996289265. The cubic root of 1344241536 is about 1103.6357756710.

Adding to 1344241536 its reverse (6351424431), we get a palindrome (7695665967).

The spelling of 1344241536 in words is "one billion, three hundred forty-four million, two hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 157 176 192 264 314 352 384 471 528 628 704 942 1056 1256 1408 1727 1884 2027 2112 2512 3454 3768 4054 4224 5024 5181 6081 6908 7536 8108 10048 10362 12162 13816 15072 16216 20096 20724 22297 24324 27632 30144 32432 41448 44594 48648 55264 60288 64864 66891 82896 89188 97296 110528 129728 133782 165792 178376 194592 221056 259456 267564 318239 331584 356752 389184 535128 636478 663168 713504 778368 954717 1070256 1272956 1427008 1909434 2140512 2545912 2854016 3500629 3818868 4281024 5091824 7001258 7637736 8562048 10183648 10501887 14002516 15275472 20367296 21003774 28005032 30550944 40734592 42007548 56010064 61101888 84015096 112020128 122203776 168030192 224040256 336060384 448080512 672120768 1344241536