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3764040 = 233574481
BaseRepresentation
bin1110010110111101001000
321002020021220
432112331020
51430422130
6212402040
743664610
oct16267510
97066256
103764040
112140a85
121316320
13a1a357
146dda40
154e5410
hex396f48

3764040 has 64 divisors (see below), whose sum is σ = 12908160. Its totient is φ = 860160.

The previous prime is 3764009. The next prime is 3764041. The reversal of 3764040 is 404673.

3764040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3764040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3764041) 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, 1401 + ... + 3080.

It is an arithmetic number, because the mean of its divisors is an integer number (201690).

Almost surely, 23764040 is an apocalyptic number.

3764040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3764040 is an abundant number, since it is smaller than the sum of its proper divisors (9144120).

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

3764040 is a wasteful number, since it uses less digits than its factorization.

3764040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3764040 is about 1940.1133987476. The cubic root of 3764040 is about 155.5552751318. Note that the first 3 decimals are identical.

The spelling of 3764040 in words is "three million, seven hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4481 8962 13443 17924 22405 26886 31367 35848 44810 53772 62734 67215 89620 94101 107544 125468 134430 156835 179240 188202 250936 268860 313670 376404 470505 537720 627340 752808 941010 1254680 1882020 3764040