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1066468734 = 233615692
BaseRepresentation
bin111111100100010…
…000010101111110
32202022202020002000
4333210100111332
54141003444414
6253454043130
735266556202
oct7744202576
92668666060
101066468734
114a7aa2821
122591a94a6
1313cc405b6
14a18d0b02
1563960b09
hex3f91057e

1066468734 has 48 divisors (see below), whose sum is σ = 2413022640. Its totient is φ = 349047360.

The previous prime is 1066468721. The next prime is 1066468751. The reversal of 1066468734 is 4378646601.

It is a happy number.

It is a super-2 number, since 2×10664687342 = 2274711121199125512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066468734.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1874002 + ... + 1874570.

It is an arithmetic number, because the mean of its divisors is an integer number (50271305).

Almost surely, 21066468734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066468734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206511320).

1066468734 is an abundant number, since it is smaller than the sum of its proper divisors (1346553906).

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

1066468734 is an frugal number, since it uses more digits than its factorization.

1066468734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 1066468734 is about 32656.8328837932. The cubic root of 1066468734 is about 1021.6827069196.

The spelling of 1066468734 in words is "one billion, sixty-six million, four hundred sixty-eight thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 569 1098 1138 1647 1707 3294 3414 5121 10242 15363 30726 34709 69418 104127 208254 312381 323761 624762 647522 937143 971283 1874286 1942566 2913849 5827698 8741547 17483094 19749421 39498842 59248263 118496526 177744789 355489578 533234367 1066468734