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3002424100 = 2252136734471
BaseRepresentation
bin1011001011110101…
…0101101100100100
321202020120221120121
42302331111230210
522122110032400
61213532211324
7134255120014
oct26275255444
97666527517
103002424100
111300876735
126b9609b44
1338b052a10
14206a77c44
151288c221a
hexb2f55b24

3002424100 has 72 divisors (see below), whose sum is σ = 7121363648. Its totient is φ = 1092009600.

The previous prime is 3002424097. The next prime is 3002424107. The reversal of 3002424100 is 14242003.

It is not an unprimeable number, because it can be changed into a prime (3002424107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69865 + ... + 104335.

Almost surely, 23002424100 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 3002424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560681824).

3002424100 is an abundant number, since it is smaller than the sum of its proper divisors (4118939548).

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

3002424100 is a wasteful number, since it uses less digits than its factorization.

3002424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34565 (or 34558 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3002424100 is about 54794.3801862928. The cubic root of 3002424100 is about 1442.6379276336.

Adding to 3002424100 its reverse (14242003), we get a palindrome (3016666103).

The spelling of 3002424100 in words is "three billion, two million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 67 100 130 134 260 268 325 335 650 670 871 1300 1340 1675 1742 3350 3484 4355 6700 8710 17420 21775 34471 43550 68942 87100 137884 172355 344710 448123 689420 861775 896246 1723550 1792492 2240615 2309557 3447100 4481230 4619114 8962460 9238228 11203075 11547785 22406150 23095570 30024241 44812300 46191140 57738925 60048482 115477850 120096964 150121205 230955700 300242410 600484820 750606025 1501212050 3002424100