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1356345666 = 2321321931757
BaseRepresentation
bin101000011011000…
…0011000101000010
310111112012111110200
41100312003011002
510234211030131
6342331110030
745416514354
oct12066030502
93445174420
101356345666
11636692635
1231a2a2316
13188005800
14cc1cb0d4
157e1202e6
hex50d83142

1356345666 has 144 divisors (see below), whose sum is σ = 3462301440. Its totient is φ = 382112640.

The previous prime is 1356345643. The next prime is 1356345701. The reversal of 1356345666 is 6665436531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1791360 + ... + 1792116.

It is an arithmetic number, because the mean of its divisors is an integer number (24043760).

Almost surely, 21356345666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356345666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731150720).

1356345666 is an abundant number, since it is smaller than the sum of its proper divisors (2105955774).

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

1356345666 is a wasteful number, since it uses less digits than its factorization.

1356345666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 825 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 1356345666 is about 36828.5984799856. The cubic root of 1356345666 is about 1106.9384199605.

The spelling of 1356345666 in words is "one billion, three hundred fifty-six million, three hundred forty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 19 26 31 38 39 57 62 78 93 114 117 169 171 186 234 247 279 338 342 403 494 507 558 589 741 757 806 1014 1178 1209 1482 1514 1521 1767 2223 2271 2418 3042 3211 3534 3627 4446 4542 5239 5301 6422 6813 7254 7657 9633 9841 10478 10602 13626 14383 15314 15717 19266 19682 22971 23467 28766 28899 29523 31434 43149 45942 46934 47151 57798 59046 68913 70401 86298 88569 94302 99541 127933 129447 137826 140802 177138 186979 199082 211203 255866 258894 298623 305071 373958 383799 422406 445873 560937 597246 610142 767598 891746 895869 915213 1121874 1151397 1337619 1682811 1791738 1830426 2302794 2430727 2675238 2745639 3365622 3965923 4012857 4861454 5491278 5796349 7292181 7931846 8025714 11592698 11897769 14584362 17389047 21876543 23795538 34778094 35693307 43753086 52167141 71386614 75352537 104334282 150705074 226057611 452115222 678172833 1356345666