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3427740 = 22325137139
BaseRepresentation
bin1101000100110110011100
320110010222100
431010312130
51334141430
6201245100
741064261
oct15046634
96403870
103427740
111a31348
121193790
13930264
14653268
1547a960
hex344d9c

3427740 has 72 divisors (see below), whose sum is σ = 10548720. Its totient is φ = 900864.

The previous prime is 3427709. The next prime is 3427747. The reversal of 3427740 is 477243.

3427740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427747) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24591 + ... + 24729.

It is an arithmetic number, because the mean of its divisors is an integer number (146510).

Almost surely, 23427740 is an apocalyptic number.

3427740 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 3427740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274360).

3427740 is an abundant number, since it is smaller than the sum of its proper divisors (7120980).

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

3427740 is a wasteful number, since it uses less digits than its factorization.

3427740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 3427740 is about 1851.4156745583. The cubic root of 3427740 is about 150.7772984235. Note that the first 3 decimals are identical.

Subtracting from 3427740 its product of nonzero digits (4704), we obtain a triangular number (3423036 = T2616).

The spelling of 3427740 in words is "three million, four hundred twenty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 139 180 274 278 411 417 548 556 685 695 822 834 1233 1251 1370 1390 1644 1668 2055 2085 2466 2502 2740 2780 4110 4170 4932 5004 6165 6255 8220 8340 12330 12510 19043 24660 25020 38086 57129 76172 95215 114258 171387 190430 228516 285645 342774 380860 571290 685548 856935 1142580 1713870 3427740