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3945674120 = 235239341221
BaseRepresentation
bin1110101100101110…
…0011010110001000
3101011222111000100112
43223023203112020
531040043032440
61451305253452
7166530451043
oct35313432610
911158430315
103945674120
111745259403
12921494288
134ab5b031b
14296051c5a
151815e3965
hexeb2e3588

3945674120 has 32 divisors (see below), whose sum is σ = 8881692120. Its totient is φ = 1577571840.

The previous prime is 3945674107. The next prime is 3945674123. The reversal of 3945674120 is 214765493.

3945674120 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 4 ways, for example, as 1261812484 + 2683861636 = 35522^2 + 51806^2 .

It is a super-2 number, since 2×39456741202 = 31136688522475548800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3945674123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75110 + ... + 116330.

Almost surely, 23945674120 is an apocalyptic number.

It is an amenable number.

3945674120 is an abundant number, since it is smaller than the sum of its proper divisors (4936018000).

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

3945674120 is a wasteful number, since it uses less digits than its factorization.

3945674120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43625 (or 43621 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 3945674120 is about 62814.6011688365. The cubic root of 3945674120 is about 1580.1818569718.

The spelling of 3945674120 in words is "three billion, nine hundred forty-five million, six hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2393 4786 9572 11965 19144 23930 41221 47860 82442 95720 164884 206105 329768 412210 824420 1648840 98641853 197283706 394567412 493209265 789134824 986418530 1972837060 3945674120