Search a number
-
+
3401352 = 233429181
BaseRepresentation
bin1100111110011010001000
320101210210000
430332122020
51332320402
6200523000
740624323
oct14763210
96353700
103401352
111a13539
121180460
13921246
146477ba
15472c1c
hex33e688

3401352 has 80 divisors (see below), whose sum is σ = 9909900. Its totient is φ = 1088640.

The previous prime is 3401347. The next prime is 3401357. The reversal of 3401352 is 2531043.

3401352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3401347) and next prime (3401357).

It can be written as a sum of positive squares in 2 ways, for example, as 3048516 + 352836 = 1746^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3401357) 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 19 ways as a sum of consecutive naturals, for example, 18702 + ... + 18882.

Almost surely, 23401352 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 3401352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954950).

3401352 is an abundant number, since it is smaller than the sum of its proper divisors (6508548).

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

3401352 is a wasteful number, since it uses less digits than its factorization.

3401352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3401352 is about 1844.2754674939. The cubic root of 3401352 is about 150.3893883037.

Adding to 3401352 its reverse (2531043), we get a palindrome (5932395).

The spelling of 3401352 in words is "three million, four hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 181 216 232 261 324 348 362 522 543 648 696 724 783 1044 1086 1448 1566 1629 2088 2172 2349 3132 3258 4344 4698 4887 5249 6264 6516 9396 9774 10498 13032 14661 15747 18792 19548 20996 29322 31494 39096 41992 47241 58644 62988 94482 117288 125976 141723 188964 283446 377928 425169 566892 850338 1133784 1700676 3401352