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1344621528 = 2332173135437
BaseRepresentation
bin101000000100101…
…0100101111011000
310110201010211222100
41100021110233120
510223210342103
6341231523400
745215044245
oct12011245730
93421124870
101344621528
11630005068
12316389560
1318575c253
14ca8185cc
157d0a65a3
hex50254bd8

1344621528 has 96 divisors (see below), whose sum is σ = 3980396160. Its totient is φ = 408222720.

The previous prime is 1344621521. The next prime is 1344621533. The reversal of 1344621528 is 8251264431.

It is a happy number.

1344621528 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 621 + 5 + 28 = 666.

It is a super-2 number, since 2×13446215282 = 3616014107122109568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1344621492 and 1344621501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344621521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20226 + ... + 55662.

It is an arithmetic number, because the mean of its divisors is an integer number (41462460).

Almost surely, 21344621528 is an apocalyptic number.

1344621528 is a gapful number since it is divisible by the number (18) 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 1344621528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990198080).

1344621528 is an abundant number, since it is smaller than the sum of its proper divisors (2635774632).

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

1344621528 is a wasteful number, since it uses less digits than its factorization.

1344621528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35497 (or 35490 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1344621528 is about 36669.0813629139. The cubic root of 1344621528 is about 1103.7397582873.

Adding to 1344621528 its reverse (8251264431), we get a palindrome (9595885959).

The spelling of 1344621528 in words is "one billion, three hundred forty-four million, six hundred twenty-one thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1581 2108 2232 3162 4216 4743 6324 9486 12648 18972 35437 37944 70874 106311 141748 212622 283496 318933 425244 602429 637866 850488 1098547 1204858 1275732 1807287 2197094 2409716 2551464 3295641 3614574 4394188 4819432 5421861 6591282 7229148 8788376 9886923 10843722 13182564 14458296 18675299 19773846 21687444 26365128 37350598 39547692 43374888 56025897 74701196 79095384 112051794 149402392 168077691 224103588 336155382 448207176 672310764 1344621528