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3381844700 = 22521321112329
BaseRepresentation
bin1100100110010010…
…1101101011011100
322201200112111210102
43021210231223130
523411223012300
61315324400232
7146543130353
oct31144555334
98650474712
103381844700
111485a65a83
127a46a6078
1341b83a250
1424120299a
1514bd6d0d5
hexc992dadc

3381844700 has 72 divisors (see below), whose sum is σ = 7941210480. Its totient is φ = 1242662400.

The previous prime is 3381844691. The next prime is 3381844709. The reversal of 3381844700 is 74481833.

It is an interprime number because it is at equal distance from previous prime (3381844691) and next prime (3381844709).

It is a super-2 number, since 2×33818447002 = 22873747149836180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381844709) 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, 268136 + ... + 280464.

It is an arithmetic number, because the mean of its divisors is an integer number (110294590).

Almost surely, 23381844700 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 3381844700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970605240).

3381844700 is an abundant number, since it is smaller than the sum of its proper divisors (4559365780).

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

3381844700 is a wasteful number, since it uses less digits than its factorization.

3381844700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567 (or 12560 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 3381844700 is about 58153.6301532415. The cubic root of 3381844700 is about 1501.0133448969.

The spelling of 3381844700 in words is "three billion, three hundred eighty-one million, eight hundred forty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 211 260 325 422 650 844 1055 1300 2110 2743 4220 5275 5486 10550 10972 12329 13715 21100 24658 27430 49316 54860 61645 68575 123290 137150 160277 246580 274300 308225 320554 616450 641108 801385 1232900 1602770 2601419 3205540 4006925 5202838 8013850 10405676 13007095 16027700 26014190 33818447 52028380 65035475 67636894 130070950 135273788 169092235 260141900 338184470 676368940 845461175 1690922350 3381844700