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3374397740 = 225723123583
BaseRepresentation
bin1100100100100001…
…0011100100101100
322201011112011111002
43021020103210230
523402321211430
61314501015432
7146422623200
oct31110234454
98634464432
103374397740
111481839a6a
127a20b4578
1341a13076c
14240224b00
1514b39b845
hexc921392c

3374397740 has 108 divisors (see below), whose sum is σ = 8520035328. Its totient is φ = 1119303360.

The previous prime is 3374397737. The next prime is 3374397811. The reversal of 3374397740 is 477934733.

It is a super-3 number, since 3×33743977403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 939989 + ... + 943571.

It is an arithmetic number, because the mean of its divisors is an integer number (78889216).

Almost surely, 23374397740 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 3374397740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260017664).

3374397740 is an abundant number, since it is smaller than the sum of its proper divisors (5145637588).

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

3374397740 is a wasteful number, since it uses less digits than its factorization.

3374397740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 47.

The square root of 3374397740 is about 58089.5665330703. The cubic root of 3374397740 is about 1499.9107709885.

The spelling of 3374397740 in words is "three billion, three hundred seventy-four million, three hundred ninety-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 961 980 1085 1519 1922 2170 3038 3583 3844 4340 4805 6076 6727 7166 7595 9610 13454 14332 15190 17915 19220 25081 26908 30380 33635 35830 47089 50162 67270 71660 94178 100324 111073 125405 134540 175567 188356 222146 235445 250810 351134 444292 470890 501620 555365 702268 777511 877835 941780 1110730 1555022 1755670 2221460 3110044 3443263 3511340 3887555 5442577 6886526 7775110 10885154 13773052 15550220 17216315 21770308 24102841 27212885 34432630 48205682 54425770 68865260 96411364 108851540 120514205 168719887 241028410 337439774 482056820 674879548 843599435 1687198870 3374397740