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3790040 = 235412311
BaseRepresentation
bin1110011101010011011000
321010112221212
432131103120
51432240130
6213122252
744133452
oct16352330
97115855
103790040
112159571
121329388
13a29137
147092d2
154ece95
hex39d4d8

3790040 has 32 divisors (see below), whose sum is σ = 8739360. Its totient is φ = 1478400.

The previous prime is 3790001. The next prime is 3790057. The reversal of 3790040 is 400973.

3790040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3789988 and 3790015.

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, 485 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (273105).

Almost surely, 23790040 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 3790040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369680).

3790040 is an abundant number, since it is smaller than the sum of its proper divisors (4949320).

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

3790040 is a wasteful number, since it uses less digits than its factorization.

3790040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 3790040 is about 1946.8025066760. The cubic root of 3790040 is about 155.9126181681.

The spelling of 3790040 in words is "three million, seven hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 2311 4622 9244 11555 18488 23110 46220 92440 94751 189502 379004 473755 758008 947510 1895020 3790040