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3452168840 = 23541251341
BaseRepresentation
bin1100110111000011…
…1110101010001000
322220120212100101012
43031300332222020
524032223400330
61330315543052
7151355644121
oct31560765210
98816770335
103452168840
1115117285aa
1280415aa88
13430290473
1424a6ab048
1515310ec95
hexcdc3ea88

3452168840 has 48 divisors (see below), whose sum is σ = 7961603940. Its totient is φ = 1347161600.

The previous prime is 3452168827. The next prime is 3452168851. The reversal of 3452168840 is 488612543.

3452168840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 342768196 + 3109400644 = 18514^2 + 55762^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41570 + ... + 92910.

Almost surely, 23452168840 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 3452168840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980801970).

3452168840 is an abundant number, since it is smaller than the sum of its proper divisors (4509435100).

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

3452168840 is a wasteful number, since it uses less digits than its factorization.

3452168840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51434 (or 51389 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 3452168840 is about 58755.1601138147. The cubic root of 3452168840 is about 1511.3463774808.

The spelling of 3452168840 in words is "three billion, four hundred fifty-two million, one hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1681 3362 6724 8405 13448 16810 33620 51341 67240 102682 205364 256705 410728 513410 1026820 2053640 2104981 4209962 8419924 10524905 16839848 21049810 42099620 84199240 86304221 172608442 345216884 431521105 690433768 863042210 1726084420 3452168840