Search a number
-
+
3704340 = 2235107577
BaseRepresentation
bin1110001000011000010100
320222012101210
432020120110
51422014330
6211221420
743325553
oct16103024
96865353
103704340
112100142
1212a7870
139c9123
146c5d9a
154d28b0
hex388614

3704340 has 48 divisors (see below), whose sum is σ = 10487232. Its totient is φ = 976896.

The previous prime is 3704303. The next prime is 3704341. The reversal of 3704340 is 434073.

3704340 is digitally balanced in base 5, 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 (3704341) 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, 6132 + ... + 6708.

It is an arithmetic number, because the mean of its divisors is an integer number (218484).

Almost surely, 23704340 is an apocalyptic number.

3704340 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 3704340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243616).

3704340 is an abundant number, since it is smaller than the sum of its proper divisors (6782892).

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

3704340 is a wasteful number, since it uses less digits than its factorization.

3704340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 3704340 is about 1924.6662048262. Note that the first 3 decimals coincide. The cubic root of 3704340 is about 154.7284875571.

The spelling of 3704340 in words is "three million, seven hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 577 642 1070 1154 1284 1605 1731 2140 2308 2885 3210 3462 5770 6420 6924 8655 11540 17310 34620 61739 123478 185217 246956 308695 370434 617390 740868 926085 1234780 1852170 3704340