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3674040 = 2335171801
BaseRepresentation
bin1110000000111110111000
320220122211120
432000332320
51420032130
6210425240
743141326
oct16007670
96818746
103674040
11208a3a7
121292220
139b83b6
146b8d16
154c8910
hex380fb8

3674040 has 64 divisors (see below), whose sum is σ = 11676960. Its totient is φ = 921600.

The previous prime is 3674029. The next prime is 3674071. The reversal of 3674040 is 404763.

3674040 is digitally balanced in base 2, 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 an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3674040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140 + ... + 2940.

Almost surely, 23674040 is an apocalyptic number.

3674040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3674040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838480).

3674040 is an abundant number, since it is smaller than the sum of its proper divisors (8002920).

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

3674040 is a wasteful number, since it uses less digits than its factorization.

3674040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1828 counting only the distinct ones).

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

The square root of 3674040 is about 1916.7785474593. The cubic root of 3674040 is about 154.3054599459.

The spelling of 3674040 in words is "three million, six hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1801 2040 3602 5403 7204 9005 10806 14408 18010 21612 27015 30617 36020 43224 54030 61234 72040 91851 108060 122468 153085 183702 216120 244936 306170 367404 459255 612340 734808 918510 1224680 1837020 3674040