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3411380 = 22572592
BaseRepresentation
bin1101000000110110110100
320102022112102
431000312310
51333131010
6201041232
740665500
oct15006664
96368472
103411380
111a20025
121186218
1392598b
1464b300
15475ba5
hex340db4

3411380 has 54 divisors (see below), whose sum is σ = 8477154. Its totient is φ = 1149792.

The previous prime is 3411377. The next prime is 3411389. The reversal of 3411380 is 831143.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2729104 + 682276 = 1652^2 + 826^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411389) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57791 + ... + 57849.

Almost surely, 23411380 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 3411380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238577).

3411380 is an abundant number, since it is smaller than the sum of its proper divisors (5065774).

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

3411380 is a wasteful number, since it uses less digits than its factorization.

3411380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3411380 is about 1846.9921494148. The cubic root of 3411380 is about 150.5370379367.

Multiplying 3411380 by its sum of digits (20), we get a square (68227600 = 82602).

3411380 divided by its sum of digits (20) gives a square (170569 = 4132).

The spelling of 3411380 in words is "three million, four hundred eleven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 196 236 245 295 413 490 590 826 980 1180 1652 2065 2891 3481 4130 5782 6962 8260 11564 13924 14455 17405 24367 28910 34810 48734 57820 69620 97468 121835 170569 243670 341138 487340 682276 852845 1705690 3411380