Search a number
-
+
3329460 = 2232553349
BaseRepresentation
bin1100101100110110110100
320021011011100
430230312310
51323020320
6155210100
740204611
oct14546664
96234140
103329460
111974522
121146930
138c75c4
14629508
1545b790
hex32cdb4

3329460 has 72 divisors (see below), whose sum is σ = 10319400. Its totient is φ = 868608.

The previous prime is 3329453. The next prime is 3329477. The reversal of 3329460 is 649233.

It can be written as a sum of positive squares in 4 ways, for example, as 933156 + 2396304 = 966^2 + 1548^2 .

It is a super-2 number, since 2×33294602 = 22170607783200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9366 + ... + 9714.

It is an arithmetic number, because the mean of its divisors is an integer number (143325).

Almost surely, 23329460 is an apocalyptic number.

3329460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3329460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159700).

3329460 is an abundant number, since it is smaller than the sum of its proper divisors (6989940).

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

3329460 is a wasteful number, since it uses less digits than its factorization.

3329460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3329460 is about 1824.6807940021. The cubic root of 3329460 is about 149.3222758784.

The spelling of 3329460 in words is "three million, three hundred twenty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 349 477 530 636 698 795 954 1047 1060 1396 1590 1745 1908 2094 2385 3141 3180 3490 4188 4770 5235 6282 6980 9540 10470 12564 15705 18497 20940 31410 36994 55491 62820 73988 92485 110982 166473 184970 221964 277455 332946 369940 554910 665892 832365 1109820 1664730 3329460