Search a number
-
+
3377052 = 223471489
BaseRepresentation
bin1100111000011110011100
320100120110000
430320132130
51331031202
6200214300
740463430
oct14703634
96316400
103377052
1119a7258
12116a390
13913173
1463c9c0
1546a91c
hex33879c

3377052 has 60 divisors (see below), whose sum is σ = 10096240. Its totient is φ = 964224.

The previous prime is 3377051. The next prime is 3377069. The reversal of 3377052 is 2507733.

3377052 = 933 + 943 + ... + 963.

It is a super-2 number, since 2×33770522 = 22808960421408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3377051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1524 + ... + 3012.

Almost surely, 23377052 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 3377052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048120).

3377052 is an abundant number, since it is smaller than the sum of its proper divisors (6719188).

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

3377052 is a wasteful number, since it uses less digits than its factorization.

3377052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 3377052 is about 1837.6757058850. The cubic root of 3377052 is about 150.0303938410.

The spelling of 3377052 in words is "three million, three hundred seventy-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 1489 2268 2978 4467 5956 8934 10423 13401 17868 20846 26802 31269 40203 41692 53604 62538 80406 93807 120609 125076 160812 187614 241218 281421 375228 482436 562842 844263 1125684 1688526 3377052