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3384124700 = 2252113139829
BaseRepresentation
bin1100100110110101…
…1010010100011100
322201211211100100212
43021231122110130
523412313442300
61315445311552
7146601404525
oct31155322434
98654740325
103384124700
111487282a80
127a54055b8
1341c157c68
1424163784c
1514c16d935
hexc9b5a51c

3384124700 has 72 divisors (see below), whose sum is σ = 8037558480. Its totient is φ = 1226534400.

The previous prime is 3384124657. The next prime is 3384124739. The reversal of 3384124700 is 74214833.

3384124700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33841247002 = 22904599970300180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339386 + ... + 349214.

Almost surely, 23384124700 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 3384124700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018779240).

3384124700 is an abundant number, since it is smaller than the sum of its proper divisors (4653433780).

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

3384124700 is a wasteful number, since it uses less digits than its factorization.

3384124700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10160 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 3384124700 is about 58173.2300977004. The cubic root of 3384124700 is about 1501.3505909784.

The spelling of 3384124700 in words is "three billion, three hundred eighty-four million, one hundred twenty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 313 550 626 1100 1252 1565 3130 3443 6260 6886 7825 9829 13772 15650 17215 19658 31300 34430 39316 49145 68860 86075 98290 108119 172150 196580 216238 245725 344300 432476 491450 540595 982900 1081190 2162380 2702975 3076477 5405950 6152954 10811900 12305908 15382385 30764770 33841247 61529540 67682494 76911925 135364988 153823850 169206235 307647700 338412470 676824940 846031175 1692062350 3384124700