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3202428 = 2232341283
BaseRepresentation
bin1100001101110101111100
320000200220110
430031311330
51304434203
6152350020
736135345
oct14156574
96020813
103202428
111898039
1210a5310
13881838
145d50cc
15433d03
hex30dd7c

3202428 has 48 divisors (see below), whose sum is σ = 8015616. Its totient is φ = 992640.

The previous prime is 3202411. The next prime is 3202429. The reversal of 3202428 is 8242023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11175 + ... + 11457.

It is an arithmetic number, because the mean of its divisors is an integer number (166992).

Almost surely, 23202428 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 3202428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007808).

3202428 is an abundant number, since it is smaller than the sum of its proper divisors (4813188).

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

3202428 is a wasteful number, since it uses less digits than its factorization.

3202428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3202428 is about 1789.5328999490. The cubic root of 3202428 is about 147.3985206420.

The spelling of 3202428 in words is "three million, two hundred two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 283 492 566 849 943 1132 1698 1886 2829 3396 3772 5658 6509 11316 11603 13018 19527 23206 26036 34809 39054 46412 69618 78108 139236 266869 533738 800607 1067476 1601214 3202428