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3381352 = 231324161
BaseRepresentation
bin1100111001100001101000
320100210100021
430321201220
51331200402
6200250224
740512112
oct14714150
96323307
103381352
1119aa507
121170974
13915100
146403b2
1546bd37
hex339868

3381352 has 48 divisors (see below), whose sum is σ = 7147980. Its totient is φ = 1497600.

The previous prime is 3381331. The next prime is 3381359. The reversal of 3381352 is 2531833.

It can be written as a sum of positive squares in 6 ways, for example, as 119716 + 3261636 = 346^2 + 1806^2 .

It is a super-2 number, since 2×33813522 = 22867082695808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55402 + ... + 55462.

Almost surely, 23381352 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 3381352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573990).

3381352 is an abundant number, since it is smaller than the sum of its proper divisors (3766628).

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

3381352 is a wasteful number, since it uses less digits than its factorization.

3381352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 3381352 is about 1838.8452898490. The cubic root of 3381352 is about 150.0940447286.

It can be divided in two parts, 33813 and 52, that multiplied together give a square (1758276 = 13262).

The spelling of 3381352 in words is "three million, three hundred eighty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 41 52 61 82 104 122 164 169 244 328 338 488 533 676 793 1066 1352 1586 2132 2501 3172 4264 5002 6344 6929 10004 10309 13858 20008 20618 27716 32513 41236 55432 65026 82472 130052 260104 422669 845338 1690676 3381352