Search a number
-
+
3080329728 = 2937240927
BaseRepresentation
bin1011011110011010…
…0001101000000000
321221200011222000020
42313212201220000
522302031022403
61225354053440
7136222241100
oct26746415000
97850158006
103080329728
111340847353
1271b71a280
133a122ba18
14213157200
15130660453
hexb79a1a00

3080329728 has 120 divisors (see below), whose sum is σ = 9546210432. Its totient is φ = 880072704.

The previous prime is 3080329711. The next prime is 3080329789. The reversal of 3080329728 is 8279230803.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3080329728.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54801 + ... + 95727.

Almost surely, 23080329728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3080329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773105216).

3080329728 is an abundant number, since it is smaller than the sum of its proper divisors (6465880704).

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

3080329728 is an equidigital number, since it uses as much as digits as its factorization.

3080329728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40962 (or 40939 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3080329728 is about 55500.7182656225. The cubic root of 3080329728 is about 1455.0091878354.

The spelling of 3080329728 in words is "three billion, eighty million, three hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2688 3136 3584 4704 5376 6272 9408 10752 12544 18816 25088 37632 40927 75264 81854 122781 163708 245562 286489 327416 491124 572978 654832 859467 982248 1145956 1309664 1718934 1964496 2005423 2291912 2619328 3437868 3928992 4010846 4583824 5238656 6016269 6875736 7857984 8021692 9167648 10477312 12032538 13751472 15715968 16043384 18335296 20954624 24065076 27502944 31431936 32086768 36670592 48130152 55005888 62863872 64173536 73341184 96260304 110011776 128347072 146682368 192520608 220023552 256694144 385041216 440047104 513388288 770082432 1026776576 1540164864 3080329728