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3528468 = 223337883
BaseRepresentation
bin1101011101011100010100
320122021011000
431131130110
51400402333
6203343300
741664036
oct15353424
96567130
103528468
111a9aa99
121221b30
13967068
1467bc56
1549a713
hex35d714

3528468 has 48 divisors (see below), whose sum is σ = 9405760. Its totient is φ = 1143072.

The previous prime is 3528463. The next prime is 3528479. The reversal of 3528468 is 8648253.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 37 + 59 + 220 + 86 + 44 + 62 + 86 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3555 + ... + 4437.

Almost surely, 23528468 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 3528468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702880).

3528468 is an abundant number, since it is smaller than the sum of its proper divisors (5877292).

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

3528468 is a wasteful number, since it uses less digits than its factorization.

3528468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3528468 is about 1878.4216778988. The cubic root of 3528468 is about 152.2399833251.

The spelling of 3528468 in words is "three million, five hundred twenty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 883 999 1332 1766 1998 2649 3532 3996 5298 7947 10596 15894 23841 31788 32671 47682 65342 95364 98013 130684 196026 294039 392052 588078 882117 1176156 1764234 3528468