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1068450944 = 271129137191
BaseRepresentation
bin111111101011110…
…100010010000000
32202110110221011012
4333223310102000
54142010412234
6254004340052
735322453221
oct7753642200
92673427135
101068450944
114a9127010
122599a4628
131404858c2
14a1c89248
1563c030ce
hex3faf4480

1068450944 has 128 divisors (see below), whose sum is σ = 2432332800. Its totient is φ = 463052800.

The previous prime is 1068450937. The next prime is 1068450967. The reversal of 1068450944 is 4490548601.

1068450944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10684509442 = 2283174839468982272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5593889 + ... + 5594079.

It is an arithmetic number, because the mean of its divisors is an integer number (19002600).

Almost surely, 21068450944 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 1068450944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216166400).

1068450944 is an abundant number, since it is smaller than the sum of its proper divisors (1363881856).

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

1068450944 is a wasteful number, since it uses less digits than its factorization.

1068450944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 1068450944 is about 32687.1678797659. The cubic root of 1068450944 is about 1022.3153043853.

The spelling of 1068450944 in words is "one billion, sixty-eight million, four hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 137 176 191 232 274 319 352 382 464 548 638 704 764 928 1096 1276 1408 1507 1528 1856 2101 2192 2552 3014 3056 3712 3973 4202 4384 5104 5539 6028 6112 7946 8404 8768 10208 11078 12056 12224 15892 16808 17536 20416 22156 24112 24448 26167 31784 33616 40832 43703 44312 48224 52334 60929 63568 67232 87406 88624 96448 104668 121858 127136 134464 174812 177248 192896 209336 243716 254272 268928 287837 349624 354496 418672 487432 508544 575674 699248 708992 758843 837344 974864 1151348 1398496 1517686 1674688 1949728 2302696 2796992 3035372 3349376 3899456 4605392 5593984 6070744 7798912 8347273 9210784 12141488 16694546 18421568 24282976 33389092 36843136 48565952 66778184 97131904 133556368 267112736 534225472 1068450944