Search a number
-
+
3366030 = 235295373
BaseRepresentation
bin1100110101110010001110
320100000022210
430311302032
51330203110
6200051250
740416333
oct14656216
96300283
103366030
111999a48
121163b26
1390b145
1463898a
15467520
hex335c8e

3366030 has 64 divisors (see below), whose sum is σ = 8631360. Its totient is φ = 838656.

The previous prime is 3366023. The next prime is 3366031. The reversal of 3366030 is 306633.

It is a super-2 number, since 2×33660302 = 22660315921800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3365988 and 3366006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46074 + ... + 46146.

It is an arithmetic number, because the mean of its divisors is an integer number (134865).

Almost surely, 23366030 is an apocalyptic number.

3366030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315680).

3366030 is an abundant number, since it is smaller than the sum of its proper divisors (5265330).

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

3366030 is a wasteful number, since it uses less digits than its factorization.

3366030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3366030 is about 1834.6743580265. The cubic root of 3366030 is about 149.8669932073.

The spelling of 3366030 in words is "three million, three hundred sixty-six thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 53 58 73 87 106 145 146 159 174 219 265 290 318 365 435 438 530 730 795 870 1095 1537 1590 2117 2190 3074 3869 4234 4611 6351 7685 7738 9222 10585 11607 12702 15370 19345 21170 23055 23214 31755 38690 46110 58035 63510 112201 116070 224402 336603 561005 673206 1122010 1683015 3366030