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3334728 = 2331971103
BaseRepresentation
bin1100101110001001001000
320021102101110
430232021020
51323202403
6155250320
740226145
oct14561110
96242343
103334728
111978481
1211499a0
138c9b17
1462b3cc
1545d103
hex32e248

3334728 has 64 divisors (see below), whose sum is σ = 8985600. Its totient is φ = 1028160.

The previous prime is 3334711. The next prime is 3334733. The reversal of 3334728 is 8274333.

It is a super-2 number, since 2×33347282 = 22240821667968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3334695 and 3334704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32325 + ... + 32427.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 23334728 is an apocalyptic number.

3334728 is a gapful number since it is divisible by the number (38) 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 3334728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492800).

3334728 is an abundant number, since it is smaller than the sum of its proper divisors (5650872).

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

3334728 is a wasteful number, since it uses less digits than its factorization.

3334728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 3334728 is about 1826.1237636042. The cubic root of 3334728 is about 149.4009888664.

The spelling of 3334728 in words is "three million, three hundred thirty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 71 76 103 114 142 152 206 213 228 284 309 412 426 456 568 618 824 852 1236 1349 1704 1957 2472 2698 3914 4047 5396 5871 7313 7828 8094 10792 11742 14626 15656 16188 21939 23484 29252 32376 43878 46968 58504 87756 138947 175512 277894 416841 555788 833682 1111576 1667364 3334728