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1643164240 = 245171208209
BaseRepresentation
bin110000111110000…
…1011001001010000
311020111220101120211
41201330023021100
511331122223430
6431014413504
755501444204
oct14174131120
94214811524
101643164240
11773583683
1239a361294
13202569943
1411832cb04
15993c872a
hex61f0b250

1643164240 has 40 divisors (see below), whose sum is σ = 4045087080. Its totient is φ = 618602496.

The previous prime is 1643164199. The next prime is 1643164241. The reversal of 1643164240 is 424613461.

It can be written as a sum of positive squares in 4 ways, for example, as 542517264 + 1100646976 = 23292^2 + 33176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×16431642402 = 5399977439229555200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1643164241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 602745 + ... + 605464.

It is an arithmetic number, because the mean of its divisors is an integer number (101127177).

Almost surely, 21643164240 is an apocalyptic number.

1643164240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1643164240 is an abundant number, since it is smaller than the sum of its proper divisors (2401922840).

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

1643164240 is a wasteful number, since it uses less digits than its factorization.

1643164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208239 (or 1208233 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1643164240 is about 40535.9623050940. The cubic root of 1643164240 is about 1180.0316567204.

The spelling of 1643164240 in words is "one billion, six hundred forty-three million, one hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1208209 2416418 4832836 6041045 9665672 12082090 19331344 20539553 24164180 41079106 48328360 82158212 96656720 102697765 164316424 205395530 328632848 410791060 821582120 1643164240