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1049338368 = 2933135839
BaseRepresentation
bin111110100010111…
…010001000000000
32201010111220122000
4332202322020000
54122112311433
6252042544000
735001141351
oct7642721000
92633456560
101049338368
114993624a1
12253508000
131395233a0
149d511d28
15621ca113
hex3e8ba200

1049338368 has 160 divisors (see below), whose sum is σ = 3345619200. Its totient is φ = 322818048.

The previous prime is 1049338363. The next prime is 1049338387. The reversal of 1049338368 is 8638339401.

It is a super-2 number, since 2×10493383682 = 2202222021113806848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1049338363) 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, 176793 + ... + 182631.

It is an arithmetic number, because the mean of its divisors is an integer number (20910120).

Almost surely, 21049338368 is an apocalyptic number.

1049338368 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 1049338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672809600).

1049338368 is an abundant number, since it is smaller than the sum of its proper divisors (2296280832).

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

1049338368 is an equidigital number, since it uses as much as digits as its factorization.

1049338368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1049338368 is about 32393.4926798578. The cubic root of 1049338368 is about 1016.1828261314.

The spelling of 1049338368 in words is "one billion, forty-nine million, three hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 5839 6656 6912 7488 9984 11232 11678 13824 14976 17517 19968 22464 23356 29952 35034 44928 46712 52551 59904 70068 75907 89856 93424 105102 140136 151814 157653 179712 186848 210204 227721 280272 303628 315306 373696 420408 455442 560544 607256 630612 683163 747392 840816 910884 1121088 1214512 1261224 1366326 1494784 1681632 1821768 2049489 2242176 2429024 2522448 2732652 2989568 3363264 3643536 4098978 4484352 4858048 5044896 5465304 6726528 7287072 8197956 8968704 9716096 10089792 10930608 13453056 14574144 16395912 19432192 20179584 21861216 26906112 29148288 32791824 38864384 40359168 43722432 58296576 65583648 80718336 87444864 116593152 131167296 174889728 262334592 349779456 524669184 1049338368