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1368617328 = 2432134911489
BaseRepresentation
bin101000110010011…
…0111000101110000
310112101021222000200
41101210313011300
510300331223303
6343450115200
745626024661
oct12144670560
93471258020
101368617328
11642604501
1232241bb00
1318a711350
14cdaa3368
15802463a3
hex51937170

1368617328 has 120 divisors (see below), whose sum is σ = 4136037360. Its totient is φ = 419973120.

The previous prime is 1368617321. The next prime is 1368617333. The reversal of 1368617328 is 8237168631.

1368617328 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 617 + 3 + 28 = 666.

It is a super-2 number, since 2×13686173282 = 3746226781003719168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368617321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918408 + ... + 919896.

It is an arithmetic number, because the mean of its divisors is an integer number (34466978).

Almost surely, 21368617328 is an apocalyptic number.

1368617328 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 1368617328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068018680).

1368617328 is an abundant number, since it is smaller than the sum of its proper divisors (2767420032).

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

1368617328 is a wasteful number, since it uses less digits than its factorization.

1368617328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1998 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1368617328 is about 36994.8283953312. The cubic root of 1368617328 is about 1110.2667778545.

The spelling of 1368617328 in words is "one billion, three hundred sixty-eight million, six hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 491 624 936 982 1473 1489 1872 1964 2946 2978 3928 4419 4467 5892 5956 6383 7856 8838 8934 11784 11912 12766 13401 17676 17868 19149 19357 23568 23824 25532 26802 35352 35736 38298 38714 51064 53604 57447 58071 70704 71472 76596 77428 102128 107208 114894 116142 153192 154856 174213 214416 229788 232284 306384 309712 348426 459576 464568 696852 731099 919152 929136 1393704 1462198 2193297 2787408 2924396 4386594 5848792 6579891 8773188 9504287 11697584 13159782 17546376 19008574 26319564 28512861 35092752 38017148 52639128 57025722 76034296 85538583 105278256 114051444 152068592 171077166 228102888 342154332 456205776 684308664 1368617328