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3745040 = 245132277
BaseRepresentation
bin1110010010010100010000
321001021020012
432102110100
51424320130
6212134052
743555325
oct16222420
97037205
103745040
112128782
121307328
13a11800
146d6b4c
154de995
hex392510

3745040 has 60 divisors (see below), whose sum is σ = 9462564. Its totient is φ = 1377792.

The previous prime is 3745019. The next prime is 3745051. The reversal of 3745040 is 405473.

3745040 is digitally balanced in base 5, 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 1336336 + 2408704 = 1156^2 + 1552^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3744997 and 3745015.

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, 13382 + ... + 13658.

Almost surely, 23745040 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 3745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731282).

3745040 is an abundant number, since it is smaller than the sum of its proper divisors (5717524).

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

3745040 is a wasteful number, since it uses less digits than its factorization.

3745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 3745040 is about 1935.2105828566. The cubic root of 3745040 is about 155.2930978615.

The spelling of 3745040 in words is "three million, seven hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 277 338 520 554 676 845 1040 1108 1352 1385 1690 2216 2704 2770 3380 3601 4432 5540 6760 7202 11080 13520 14404 18005 22160 28808 36010 46813 57616 72020 93626 144040 187252 234065 288080 374504 468130 749008 936260 1872520 3745040