Search a number
-
+
1534044336 = 243113598093
BaseRepresentation
bin101101101101111…
…1010100010110000
310221220120112012220
41123123322202300
511120203404321
6412115521040
753005106316
oct13333724260
93856515186
101534044336
11717a23240
123698b9180
131b5a82056
14107a460b6
158ea219c6
hex5b6fa8b0

1534044336 has 80 divisors (see below), whose sum is σ = 4335793920. Its totient is φ = 463509760.

The previous prime is 1534044313. The next prime is 1534044371. The reversal of 1534044336 is 6334404351.

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 = 1534044297 and 1534044306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185506 + ... + 193598.

It is an arithmetic number, because the mean of its divisors is an integer number (54197424).

Almost surely, 21534044336 is an apocalyptic number.

1534044336 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 1534044336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167896960).

1534044336 is an abundant number, since it is smaller than the sum of its proper divisors (2801749584).

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

1534044336 is a wasteful number, since it uses less digits than its factorization.

1534044336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 1534044336 is about 39166.8780476565. The cubic root of 1534044336 is about 1153.3097684903.

Adding to 1534044336 its reverse (6334404351), we get a palindrome (7868448687).

The spelling of 1534044336 in words is "one billion, five hundred thirty-four million, forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 359 528 718 1077 1436 2154 2872 3949 4308 5744 7898 8093 8616 11847 15796 16186 17232 23694 24279 31592 32372 47388 48558 63184 64744 89023 94776 97116 129488 178046 189552 194232 267069 356092 388464 534138 712184 1068276 1424368 2136552 2905387 4273104 5810774 8716161 11621548 17432322 23243096 31959257 34864644 46486192 63918514 69729288 95877771 127837028 139458576 191755542 255674056 383511084 511348112 767022168 1534044336