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1344555696 = 243114754181
BaseRepresentation
bin101000000100100…
…0100101010110000
310110201000111200010
41100021010222300
510223201240241
6341230254520
745214351311
oct12011045260
93421014603
101344555696
1162aa6a660
12316357440
131857382b3
14ca7dc608
157d091d16
hex50244ab0

1344555696 has 80 divisors (see below), whose sum is σ = 3869895168. Its totient is φ = 398764800.

The previous prime is 1344555679. The next prime is 1344555697. The reversal of 1344555696 is 6965554431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1344555697) 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, 2275 + ... + 51906.

Almost surely, 21344555696 is an apocalyptic number.

1344555696 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 1344555696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934947584).

1344555696 is an abundant number, since it is smaller than the sum of its proper divisors (2525339472).

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

1344555696 is a wasteful number, since it uses less digits than its factorization.

1344555696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54250 (or 54244 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 48.

The square root of 1344555696 is about 36668.1837019507. The cubic root of 1344555696 is about 1103.7217451438.

It can be divided in two parts, 1344 and 555696, that added together give a triangular number (557040 = T1055).

The spelling of 1344555696 in words is "one billion, three hundred forty-four million, five hundred fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 752 1034 1128 1551 2068 2256 3102 4136 6204 8272 12408 24816 54181 108362 162543 216724 325086 433448 595991 650172 866896 1191982 1300344 1787973 2383964 2546507 2600688 3575946 4767928 5093014 7151892 7639521 9535856 10186028 14303784 15279042 20372056 28011577 28607568 30558084 40744112 56023154 61116168 84034731 112046308 122232336 168069462 224092616 336138924 448185232 672277848 1344555696