Search a number
-
+
3402140 = 2257191279
BaseRepresentation
bin1100111110100110011100
320101211212012
430332212130
51332332030
6200530352
740626530
oct14764634
96354765
103402140
111a14095
1211809b8
13921701
14647bc0
15473095
hex33e99c

3402140 has 48 divisors (see below), whose sum is σ = 8601600. Its totient is φ = 1104192.

The previous prime is 3402131. The next prime is 3402143. The reversal of 3402140 is 412043.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2021 + ... + 3299.

It is an arithmetic number, because the mean of its divisors is an integer number (179200).

Almost surely, 23402140 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 3402140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300800).

3402140 is an abundant number, since it is smaller than the sum of its proper divisors (5199460).

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

3402140 is a wasteful number, since it uses less digits than its factorization.

3402140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3402140 is about 1844.4890891518. The cubic root of 3402140 is about 150.4010011062.

Adding to 3402140 its reverse (412043), we get a palindrome (3814183).

The spelling of 3402140 in words is "three million, four hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1279 1330 2558 2660 5116 6395 8953 12790 17906 24301 25580 35812 44765 48602 89530 97204 121505 170107 179060 243010 340214 486020 680428 850535 1701070 3402140