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3344106700 = 2252114097433
BaseRepresentation
bin1100011101010011…
…0000010011001100
322122001112012222201
43013110300103030
523322042403300
61311455451244
7145604303134
oct30724602314
98561465881
103344106700
11146672a950
12793b26b24
13413a8617c
1423a1bbac4
151488b666a
hexc75304cc

3344106700 has 72 divisors (see below), whose sum is σ = 7936835760. Its totient is φ = 1212902400.

The previous prime is 3344106683. The next prime is 3344106767. The reversal of 3344106700 is 76014433.

It is a super-2 number, since 2×33441067002 = 22366099241969780000, which contains 22 as substring.

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, 446184 + ... + 453616.

It is an arithmetic number, because the mean of its divisors is an integer number (110233830).

Almost surely, 23344106700 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 3344106700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968417880).

3344106700 is an abundant number, since it is smaller than the sum of its proper divisors (4592729060).

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

3344106700 is a wasteful number, since it uses less digits than its factorization.

3344106700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3344106700 is about 57828.2517460108. The cubic root of 3344106700 is about 1495.4091787221.

The spelling of 3344106700 in words is "three billion, three hundred forty-four million, one hundred six thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 409 550 818 1100 1636 2045 4090 4499 7433 8180 8998 10225 14866 17996 20450 22495 29732 37165 40900 44990 74330 81763 89980 112475 148660 163526 185825 224950 327052 371650 408815 449900 743300 817630 1635260 2044075 3040097 4088150 6080194 8176300 12160388 15200485 30400970 33441067 60801940 66882134 76002425 133764268 152004850 167205335 304009700 334410670 668821340 836026675 1672053350 3344106700