Search a number
-
+
3745641040 = 245157129803
BaseRepresentation
bin1101111101000001…
…1111001001010000
3100200001002021112221
43133100133021100
530132341003130
61415402030424
7161551265161
oct33720371120
910601067487
103745641040
111652353609
128864a8414
13479013c5b
14277661768
1516dc7e87a
hexdf41f250

3745641040 has 40 divisors (see below), whose sum is σ = 8714451168. Its totient is φ = 1497252480.

The previous prime is 3745640989. The next prime is 3745641143. The reversal of 3745641040 is 401465473.

3745641040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3745640987 and 3745641005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110779 + ... + 140581.

Almost surely, 23745641040 is an apocalyptic number.

It is an amenable number.

3745641040 is an abundant number, since it is smaller than the sum of its proper divisors (4968810128).

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

3745641040 is a wasteful number, since it uses less digits than its factorization.

3745641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31387 (or 31381 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 3745641040 is about 61201.6424616203. The cubic root of 3745641040 is about 1553.0140505986.

The spelling of 3745641040 in words is "three billion, seven hundred forty-five million, six hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1571 3142 6284 7855 12568 15710 25136 29803 31420 59606 62840 119212 125680 149015 238424 298030 476848 596060 1192120 2384240 46820513 93641026 187282052 234102565 374564104 468205130 749128208 936410260 1872820520 3745641040