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1660635344 = 241797113557
BaseRepresentation
bin110001011111011…
…0100100011010000
311021201210000102202
41202332310203100
511400110312334
6432441102332
756103111314
oct14276644320
94251700382
101660635344
11782426a05
123a41879a8
13206075c84
1411a799b44
159abca17e
hex62fb48d0

1660635344 has 80 divisors (see below), whose sum is σ = 3478558608. Its totient is φ = 765198336.

The previous prime is 1660635343. The next prime is 1660635377. The reversal of 1660635344 is 4435360661.

It can be written as a sum of positive squares in 8 ways, for example, as 309337744 + 1351297600 = 17588^2 + 36760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1660635298 and 1660635307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1660635343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2981114 + ... + 2981670.

Almost surely, 21660635344 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 1660635344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739279304).

1660635344 is an abundant number, since it is smaller than the sum of its proper divisors (1817923264).

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

1660635344 is a wasteful number, since it uses less digits than its factorization.

1660635344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 1660635344 is about 40750.8937816093. The cubic root of 1660635344 is about 1184.1991880914.

The spelling of 1660635344 in words is "one billion, six hundred sixty million, six hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 97 113 136 194 226 272 388 452 557 776 904 1114 1552 1649 1808 1921 2228 3298 3842 4456 6596 7684 8912 9469 10961 13192 15368 18938 21922 26384 30736 37876 43844 54029 62941 75752 87688 108058 125882 151504 175376 186337 216116 251764 372674 432232 503528 745348 864464 918493 1007056 1069997 1490696 1836986 2139994 2981392 3673972 4279988 6105277 7347944 8559976 12210554 14695888 17119952 24421108 48842216 97684432 103789709 207579418 415158836 830317672 1660635344