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3369828 = 2237211521
BaseRepresentation
bin1100110110101101100100
320100012112110
430312231210
51330313303
6200121020
740433400
oct14665544
96305473
103369828
1119a1890
121166170
1390caa7
1463a100
15468703
hex336b64

3369828 has 72 divisors (see below), whose sum is σ = 9997344. Its totient is φ = 873600.

The previous prime is 3369827. The next prime is 3369841. The reversal of 3369828 is 8289633.

It is a super-2 number, since 2×33698282 = 22711481499168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3369827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6208 + ... + 6728.

It is an arithmetic number, because the mean of its divisors is an integer number (138852).

Almost surely, 23369828 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 3369828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998672).

3369828 is an abundant number, since it is smaller than the sum of its proper divisors (6627516).

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

3369828 is a wasteful number, since it uses less digits than its factorization.

3369828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3369828 is about 1835.7091272857. The cubic root of 3369828 is about 149.9233386047.

It can be divided in two parts, 33 and 69828, that multiplied together give a square (2304324 = 15182).

The spelling of 3369828 in words is "three million, three hundred sixty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 521 539 588 924 1042 1078 1563 1617 2084 2156 3126 3234 3647 5731 6252 6468 7294 10941 11462 14588 17193 21882 22924 25529 34386 40117 43764 51058 68772 76587 80234 102116 120351 153174 160468 240702 280819 306348 481404 561638 842457 1123276 1684914 3369828